What is the Least Common Multiple of 70688 and 70708?

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 70708 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 70708, than apply into the LCM equation.

GCF(70688,70708) = 4
LCM(70688,70708) = ( 70688 × 70708) / 4
LCM(70688,70708) = 4998207104 / 4
LCM(70688,70708) = 1249551776

Least Common Multiple (LCM) of 70688 and 70708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70688 and 70708. First we will calculate the prime factors of 70688 and 70708.

Prime Factorization of 70688

Prime Factorization of 70708

Now multiplying the highest exponent prime factors to calculate the LCM of 70688 and 70708.

LCM(70688,70708) = 2⁵ × 47² × 11¹ × 1607¹
LCM(70688,70708) = 1249551776