What is the Least Common Multiple of 89088 and 89092?

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 89088 and 89092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89088 and 89092, than apply into the LCM equation.

GCF(89088,89092) = 4
LCM(89088,89092) = ( 89088 × 89092) / 4
LCM(89088,89092) = 7937028096 / 4
LCM(89088,89092) = 1984257024

Least Common Multiple (LCM) of 89088 and 89092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89088 and 89092. First we will calculate the prime factors of 89088 and 89092.

Prime Factorization of 89088

Prime Factorization of 89092

Now multiplying the highest exponent prime factors to calculate the LCM of 89088 and 89092.

LCM(89088,89092) = 2¹⁰ × 3¹ × 29¹ × 22273¹
LCM(89088,89092) = 1984257024