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What is the Least Common Multiple of 3646 and 3656?

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 3646 and 3656 is 6664888.

LCM(3646,3656) = 6664888

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Least Common Multiple of 3646 and 3656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3646 and 3656, than apply into the LCM equation.

GCF(3646,3656) = 2
LCM(3646,3656) = ( 3646 × 3656) / 2
LCM(3646,3656) = 13329776 / 2
LCM(3646,3656) = 6664888

Least Common Multiple (LCM) of 3646 and 3656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3646 and 3656. First we will calculate the prime factors of 3646 and 3656.

Prime Factorization of 3646

Prime factors of 3646 are 2, 1823. Prime factorization of 3646 in exponential form is:

3646 = 21 × 18231

Prime Factorization of 3656

Prime factors of 3656 are 2, 457. Prime factorization of 3656 in exponential form is:

3656 = 23 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 3646 and 3656.

LCM(3646,3656) = 23 × 18231 × 4571
LCM(3646,3656) = 6664888