What is the Least Common Multiple of 70496 and 70516?

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 70496 and 70516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70496 and 70516, than apply into the LCM equation.

GCF(70496,70516) = 4
LCM(70496,70516) = ( 70496 × 70516) / 4
LCM(70496,70516) = 4971095936 / 4
LCM(70496,70516) = 1242773984

Least Common Multiple (LCM) of 70496 and 70516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70496 and 70516. First we will calculate the prime factors of 70496 and 70516.

Prime Factorization of 70496

Prime Factorization of 70516

Now multiplying the highest exponent prime factors to calculate the LCM of 70496 and 70516.

LCM(70496,70516) = 2⁵ × 2203¹ × 17² × 61¹
LCM(70496,70516) = 1242773984