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What is the Least Common Multiple of 3637 and 3646?

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 3637 and 3646 is 13260502.

LCM(3637,3646) = 13260502

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Least Common Multiple of 3637 and 3646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3637 and 3646, than apply into the LCM equation.

GCF(3637,3646) = 1
LCM(3637,3646) = ( 3637 × 3646) / 1
LCM(3637,3646) = 13260502 / 1
LCM(3637,3646) = 13260502

Least Common Multiple (LCM) of 3637 and 3646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3637 and 3646. First we will calculate the prime factors of 3637 and 3646.

Prime Factorization of 3637

Prime factors of 3637 are 3637. Prime factorization of 3637 in exponential form is:

3637 = 36371

Prime Factorization of 3646

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

3646 = 21 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 3637 and 3646.

LCM(3637,3646) = 36371 × 21 × 18231
LCM(3637,3646) = 13260502