What is the Least Common Multiple of 64146 and 64160?

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 64160 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 64160, than apply into the LCM equation.

GCF(64146,64160) = 2
LCM(64146,64160) = ( 64146 × 64160) / 2
LCM(64146,64160) = 4115607360 / 2
LCM(64146,64160) = 2057803680

Least Common Multiple (LCM) of 64146 and 64160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64146 and 64160. First we will calculate the prime factors of 64146 and 64160.

Prime Factorization of 64146

Prime Factorization of 64160

Now multiplying the highest exponent prime factors to calculate the LCM of 64146 and 64160.

LCM(64146,64160) = 2⁵ × 3¹ × 10691¹ × 5¹ × 401¹
LCM(64146,64160) = 2057803680