What is the Least Common Multiple of 65148 and 65166?

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 65148 and 65166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65148 and 65166, than apply into the LCM equation.

GCF(65148,65166) = 6
LCM(65148,65166) = ( 65148 × 65166) / 6
LCM(65148,65166) = 4245434568 / 6
LCM(65148,65166) = 707572428

Least Common Multiple (LCM) of 65148 and 65166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65148 and 65166. First we will calculate the prime factors of 65148 and 65166.

Prime Factorization of 65148

Prime Factorization of 65166

Now multiplying the highest exponent prime factors to calculate the LCM of 65148 and 65166.

LCM(65148,65166) = 2² × 3¹ × 61¹ × 89¹ × 10861¹
LCM(65148,65166) = 707572428