What is the Least Common Multiple of 3638 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 of 3638 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 3638 and 3646, than apply into the LCM equation.

GCF(3638,3646) = 2
LCM(3638,3646) = ( 3638 × 3646) / 2
LCM(3638,3646) = 13264148 / 2
LCM(3638,3646) = 6632074

Least Common Multiple (LCM) of 3638 and 3646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3638 and 3646. First we will calculate the prime factors of 3638 and 3646.

Prime Factorization of 3638

Prime Factorization of 3646

Now multiplying the highest exponent prime factors to calculate the LCM of 3638 and 3646.

LCM(3638,3646) = 2¹ × 17¹ × 107¹ × 1823¹
LCM(3638,3646) = 6632074