What is the Least Common Multiple of 90336 and 90352?

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 90336 and 90352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90336 and 90352, than apply into the LCM equation.

GCF(90336,90352) = 16
LCM(90336,90352) = ( 90336 × 90352) / 16
LCM(90336,90352) = 8162038272 / 16
LCM(90336,90352) = 510127392

Least Common Multiple (LCM) of 90336 and 90352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90336 and 90352. First we will calculate the prime factors of 90336 and 90352.

Prime Factorization of 90336

Prime Factorization of 90352

Now multiplying the highest exponent prime factors to calculate the LCM of 90336 and 90352.

LCM(90336,90352) = 2⁵ × 3¹ × 941¹ × 5647¹
LCM(90336,90352) = 510127392