What is the Least Common Multiple of 45088 and 45092?

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 45088 and 45092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45088 and 45092, than apply into the LCM equation.

GCF(45088,45092) = 4
LCM(45088,45092) = ( 45088 × 45092) / 4
LCM(45088,45092) = 2033108096 / 4
LCM(45088,45092) = 508277024

Least Common Multiple (LCM) of 45088 and 45092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45088 and 45092. First we will calculate the prime factors of 45088 and 45092.

Prime Factorization of 45088

Prime Factorization of 45092

Now multiplying the highest exponent prime factors to calculate the LCM of 45088 and 45092.

LCM(45088,45092) = 2⁵ × 1409¹ × 11273¹
LCM(45088,45092) = 508277024