What is the Least Common Multiple of 70624 and 70644?

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 70624 and 70644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70624 and 70644, than apply into the LCM equation.

GCF(70624,70644) = 4
LCM(70624,70644) = ( 70624 × 70644) / 4
LCM(70624,70644) = 4989161856 / 4
LCM(70624,70644) = 1247290464

Least Common Multiple (LCM) of 70624 and 70644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70624 and 70644. First we will calculate the prime factors of 70624 and 70644.

Prime Factorization of 70624

Prime Factorization of 70644

Now multiplying the highest exponent prime factors to calculate the LCM of 70624 and 70644.

LCM(70624,70644) = 2⁵ × 2207¹ × 3¹ × 7¹ × 29²
LCM(70624,70644) = 1247290464