What is the Least Common Multiple of 64946 and 64952?

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 64946 and 64952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64946 and 64952, than apply into the LCM equation.

GCF(64946,64952) = 2
LCM(64946,64952) = ( 64946 × 64952) / 2
LCM(64946,64952) = 4218372592 / 2
LCM(64946,64952) = 2109186296

Least Common Multiple (LCM) of 64946 and 64952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64946 and 64952. First we will calculate the prime factors of 64946 and 64952.

Prime Factorization of 64946

Prime Factorization of 64952

Now multiplying the highest exponent prime factors to calculate the LCM of 64946 and 64952.

LCM(64946,64952) = 2³ × 7¹ × 4639¹ × 23¹ × 353¹
LCM(64946,64952) = 2109186296