What is the Least Common Multiple of 70688 and 70707?

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 70688 and 70707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70688 and 70707, than apply into the LCM equation.

GCF(70688,70707) = 1
LCM(70688,70707) = ( 70688 × 70707) / 1
LCM(70688,70707) = 4998136416 / 1
LCM(70688,70707) = 4998136416

Least Common Multiple (LCM) of 70688 and 70707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70688 and 70707. First we will calculate the prime factors of 70688 and 70707.

Prime Factorization of 70688

Prime Factorization of 70707

Now multiplying the highest exponent prime factors to calculate the LCM of 70688 and 70707.

LCM(70688,70707) = 2⁵ × 47² × 3¹ × 7² × 13¹ × 37¹
LCM(70688,70707) = 4998136416