What is the Least Common Multiple of 65158 and 65172?

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 65158 and 65172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65158 and 65172, than apply into the LCM equation.

GCF(65158,65172) = 2
LCM(65158,65172) = ( 65158 × 65172) / 2
LCM(65158,65172) = 4246477176 / 2
LCM(65158,65172) = 2123238588

Least Common Multiple (LCM) of 65158 and 65172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65158 and 65172. First we will calculate the prime factors of 65158 and 65172.

Prime Factorization of 65158

Prime Factorization of 65172

Now multiplying the highest exponent prime factors to calculate the LCM of 65158 and 65172.

LCM(65158,65172) = 2² × 32579¹ × 3¹ × 5431¹
LCM(65158,65172) = 2123238588