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What is the Least Common Multiple of 3708 and 3724?

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 3708 and 3724 is 3452148.

LCM(3708,3724) = 3452148

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Least Common Multiple of 3708 and 3724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3708 and 3724, than apply into the LCM equation.

GCF(3708,3724) = 4
LCM(3708,3724) = ( 3708 × 3724) / 4
LCM(3708,3724) = 13808592 / 4
LCM(3708,3724) = 3452148

Least Common Multiple (LCM) of 3708 and 3724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3708 and 3724. First we will calculate the prime factors of 3708 and 3724.

Prime Factorization of 3708

Prime factors of 3708 are 2, 3, 103. Prime factorization of 3708 in exponential form is:

3708 = 22 × 32 × 1031

Prime Factorization of 3724

Prime factors of 3724 are 2, 7, 19. Prime factorization of 3724 in exponential form is:

3724 = 22 × 72 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 3708 and 3724.

LCM(3708,3724) = 22 × 32 × 1031 × 72 × 191
LCM(3708,3724) = 3452148