What is the Least Common Multiple of 90456 and 90476?

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 90456 and 90476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90456 and 90476, than apply into the LCM equation.

GCF(90456,90476) = 4
LCM(90456,90476) = ( 90456 × 90476) / 4
LCM(90456,90476) = 8184097056 / 4
LCM(90456,90476) = 2046024264

Least Common Multiple (LCM) of 90456 and 90476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90456 and 90476. First we will calculate the prime factors of 90456 and 90476.

Prime Factorization of 90456

Prime Factorization of 90476

Now multiplying the highest exponent prime factors to calculate the LCM of 90456 and 90476.

LCM(90456,90476) = 2³ × 3¹ × 3769¹ × 22619¹
LCM(90456,90476) = 2046024264