What is the Least Common Multiple of 90570 and 90576?

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 90570 and 90576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90570 and 90576, than apply into the LCM equation.

GCF(90570,90576) = 6
LCM(90570,90576) = ( 90570 × 90576) / 6
LCM(90570,90576) = 8203468320 / 6
LCM(90570,90576) = 1367244720

Least Common Multiple (LCM) of 90570 and 90576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90570 and 90576. First we will calculate the prime factors of 90570 and 90576.

Prime Factorization of 90570

Prime Factorization of 90576

Now multiplying the highest exponent prime factors to calculate the LCM of 90570 and 90576.

LCM(90570,90576) = 2⁴ × 3² × 5¹ × 3019¹ × 17¹ × 37¹
LCM(90570,90576) = 1367244720