What is the Least Common Multiple of 64185 and 64196?

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 64185 and 64196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64185 and 64196, than apply into the LCM equation.

GCF(64185,64196) = 11
LCM(64185,64196) = ( 64185 × 64196) / 11
LCM(64185,64196) = 4120420260 / 11
LCM(64185,64196) = 374583660

Least Common Multiple (LCM) of 64185 and 64196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64185 and 64196. First we will calculate the prime factors of 64185 and 64196.

Prime Factorization of 64185

Prime Factorization of 64196

Now multiplying the highest exponent prime factors to calculate the LCM of 64185 and 64196.

LCM(64185,64196) = 3¹ × 5¹ × 11¹ × 389¹ × 2² × 1459¹
LCM(64185,64196) = 374583660