What is the Least Common Multiple of 64146 and 64151?

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 64146 and 64151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64146 and 64151, than apply into the LCM equation.

GCF(64146,64151) = 1
LCM(64146,64151) = ( 64146 × 64151) / 1
LCM(64146,64151) = 4115030046 / 1
LCM(64146,64151) = 4115030046

Least Common Multiple (LCM) of 64146 and 64151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64146 and 64151. First we will calculate the prime factors of 64146 and 64151.

Prime Factorization of 64146

Prime Factorization of 64151

Now multiplying the highest exponent prime factors to calculate the LCM of 64146 and 64151.

LCM(64146,64151) = 2¹ × 3¹ × 10691¹ × 64151¹
LCM(64146,64151) = 4115030046