What is the Least Common Multiple of 70752 and 70756?

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 70752 and 70756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70752 and 70756, than apply into the LCM equation.

GCF(70752,70756) = 4
LCM(70752,70756) = ( 70752 × 70756) / 4
LCM(70752,70756) = 5006128512 / 4
LCM(70752,70756) = 1251532128

Least Common Multiple (LCM) of 70752 and 70756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70752 and 70756. First we will calculate the prime factors of 70752 and 70756.

Prime Factorization of 70752

Prime Factorization of 70756

Now multiplying the highest exponent prime factors to calculate the LCM of 70752 and 70756.

LCM(70752,70756) = 2⁵ × 3¹ × 11¹ × 67¹ × 7² × 19²
LCM(70752,70756) = 1251532128