What is the Least Common Multiple of 90336 and 90348?

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 90348 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 90348, than apply into the LCM equation.

GCF(90336,90348) = 12
LCM(90336,90348) = ( 90336 × 90348) / 12
LCM(90336,90348) = 8161676928 / 12
LCM(90336,90348) = 680139744

Least Common Multiple (LCM) of 90336 and 90348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90336 and 90348. First we will calculate the prime factors of 90336 and 90348.

Prime Factorization of 90336

Prime Factorization of 90348

Now multiplying the highest exponent prime factors to calculate the LCM of 90336 and 90348.

LCM(90336,90348) = 2⁵ × 3¹ × 941¹ × 7529¹
LCM(90336,90348) = 680139744