What is the Least Common Multiple of 64644 and 64657?

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 64644 and 64657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64644 and 64657, than apply into the LCM equation.

GCF(64644,64657) = 1
LCM(64644,64657) = ( 64644 × 64657) / 1
LCM(64644,64657) = 4179687108 / 1
LCM(64644,64657) = 4179687108

Least Common Multiple (LCM) of 64644 and 64657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64644 and 64657. First we will calculate the prime factors of 64644 and 64657.

Prime Factorization of 64644

Prime Factorization of 64657

Now multiplying the highest exponent prime factors to calculate the LCM of 64644 and 64657.

LCM(64644,64657) = 2² × 3¹ × 5387¹ × 19¹ × 41¹ × 83¹
LCM(64644,64657) = 4179687108