What is the Least Common Multiple of 66101 and 66108?

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 66101 and 66108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66101 and 66108, than apply into the LCM equation.

GCF(66101,66108) = 7
LCM(66101,66108) = ( 66101 × 66108) / 7
LCM(66101,66108) = 4369804908 / 7
LCM(66101,66108) = 624257844

Least Common Multiple (LCM) of 66101 and 66108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66101 and 66108. First we will calculate the prime factors of 66101 and 66108.

Prime Factorization of 66101

Prime Factorization of 66108

Now multiplying the highest exponent prime factors to calculate the LCM of 66101 and 66108.

LCM(66101,66108) = 7² × 19¹ × 71¹ × 2² × 3¹ × 787¹
LCM(66101,66108) = 624257844