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Least Common Multiple of 3 and 24

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 3 and 24 is 24.

LCM(3,24) = 24

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Least Common Multiple of 3 and 24 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3 and 24, than apply into the LCM equation.

GCF(3,24) = 3
LCM(3,24) = ( 3 × 24) / 3
LCM(3,24) = 72 / 3
LCM(3,24) = 24

Least Common Multiple (LCM) of 3 and 24 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3 and 24. First we will calculate the prime factors of 3 and 24.

Prime Factorization of 3

Prime factors of 3 are 3. Prime factorization of 3 in exponential form is:

3 = 31

Prime Factorization of 24

Prime factors of 24 are 2, 3. Prime factorization of 24 in exponential form is:

24 = 23 × 31

Now multiplying the highest exponent prime factors to calculate the LCM of 3 and 24.

LCM(3,24) = 31 × 23
LCM(3,24) = 24

Recent Comments
Person 2019-11-20 15:28:57

I did not understand your explanation for how to find the LCM at all, but the calculator was very helpful for checking answers.

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