What is the Least Common Multiple of 90752 and 90756?

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 90752 and 90756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90752 and 90756, than apply into the LCM equation.

GCF(90752,90756) = 4
LCM(90752,90756) = ( 90752 × 90756) / 4
LCM(90752,90756) = 8236288512 / 4
LCM(90752,90756) = 2059072128

Least Common Multiple (LCM) of 90752 and 90756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90752 and 90756. First we will calculate the prime factors of 90752 and 90756.

Prime Factorization of 90752

Prime Factorization of 90756

Now multiplying the highest exponent prime factors to calculate the LCM of 90752 and 90756.

LCM(90752,90756) = 2⁷ × 709¹ × 3² × 2521¹
LCM(90752,90756) = 2059072128