What is the Least Common Multiple of 64646 and 64661?

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 64646 and 64661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64646 and 64661, than apply into the LCM equation.

GCF(64646,64661) = 1
LCM(64646,64661) = ( 64646 × 64661) / 1
LCM(64646,64661) = 4180075006 / 1
LCM(64646,64661) = 4180075006

Least Common Multiple (LCM) of 64646 and 64661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64646 and 64661. First we will calculate the prime factors of 64646 and 64661.

Prime Factorization of 64646

Prime Factorization of 64661

Now multiplying the highest exponent prime factors to calculate the LCM of 64646 and 64661.

LCM(64646,64661) = 2¹ × 32323¹ × 64661¹
LCM(64646,64661) = 4180075006