What is the Least Common Multiple of 70644 and 70648?

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 70644 and 70648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70644 and 70648, than apply into the LCM equation.

GCF(70644,70648) = 4
LCM(70644,70648) = ( 70644 × 70648) / 4
LCM(70644,70648) = 4990857312 / 4
LCM(70644,70648) = 1247714328

Least Common Multiple (LCM) of 70644 and 70648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70644 and 70648. First we will calculate the prime factors of 70644 and 70648.

Prime Factorization of 70644

Prime Factorization of 70648

Now multiplying the highest exponent prime factors to calculate the LCM of 70644 and 70648.

LCM(70644,70648) = 2³ × 3¹ × 7¹ × 29² × 8831¹
LCM(70644,70648) = 1247714328