You have a pair of denominators, what is their least common multiple?
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You have a pair of denominators, what is their least common multiple?
To find the least common multiple (LCM) of and , list the multiples of each number until the smallest common multiple appears.
Multiples of :
Multiples of :
The smallest common multiple is .
24
You have a pair of denominators, what is their least common multiple?
\( \boxed 2~~~\boxed5 \)
Multiplying gives you a common multiple (48), but not the least common multiple! The LCM of 6 and 8 is actually 24, which is smaller than 48.
Stop as soon as you find the first number that appears in both lists. That's your LCM! You don't need to keep going once you find the match.
Yes! You can use prime factorization or the formula LCM(a,b) = (a × b) ÷ GCF(a,b). But listing multiples is often clearer for smaller numbers.
Great question! If one number is a multiple of the other, then the larger number is the LCM. For example, LCM(4, 12) = 12 since 12 ÷ 4 = 3.
Absolutely! Whether you list multiples, use prime factorization, or apply formulas, the LCM is always unique. There's only one least common multiple for any pair of numbers.
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