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What is the Least Common Multiple of 3641 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 3641 and 3656 is 13311496.

LCM(3641,3656) = 13311496

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Least Common Multiple of 3641 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 3641 and 3656, than apply into the LCM equation.

GCF(3641,3656) = 1
LCM(3641,3656) = ( 3641 × 3656) / 1
LCM(3641,3656) = 13311496 / 1
LCM(3641,3656) = 13311496

Least Common Multiple (LCM) of 3641 and 3656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3641 and 3656. First we will calculate the prime factors of 3641 and 3656.

Prime Factorization of 3641

Prime factors of 3641 are 11, 331. Prime factorization of 3641 in exponential form is:

3641 = 111 × 3311

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 3641 and 3656.

LCM(3641,3656) = 111 × 3311 × 23 × 4571
LCM(3641,3656) = 13311496