What is the Least Common Multiple of 64092 and 64101?

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 64092 and 64101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64092 and 64101, than apply into the LCM equation.

GCF(64092,64101) = 3
LCM(64092,64101) = ( 64092 × 64101) / 3
LCM(64092,64101) = 4108361292 / 3
LCM(64092,64101) = 1369453764

Least Common Multiple (LCM) of 64092 and 64101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64092 and 64101. First we will calculate the prime factors of 64092 and 64101.

Prime Factorization of 64092

Prime Factorization of 64101

Now multiplying the highest exponent prime factors to calculate the LCM of 64092 and 64101.

LCM(64092,64101) = 2² × 3¹ × 7² × 109¹ × 23¹ × 929¹
LCM(64092,64101) = 1369453764