What is the Least Common Multiple of 3638 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 of 3638 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 3638 and 3656, than apply into the LCM equation.

GCF(3638,3656) = 2
LCM(3638,3656) = ( 3638 × 3656) / 2
LCM(3638,3656) = 13300528 / 2
LCM(3638,3656) = 6650264

Least Common Multiple (LCM) of 3638 and 3656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3638 and 3656. First we will calculate the prime factors of 3638 and 3656.

Prime Factorization of 3638

Prime Factorization of 3656

Now multiplying the highest exponent prime factors to calculate the LCM of 3638 and 3656.

LCM(3638,3656) = 2³ × 17¹ × 107¹ × 457¹
LCM(3638,3656) = 6650264