What is the Least Common Multiple of 73088 and 73092?

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 73088 and 73092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73088 and 73092, than apply into the LCM equation.

GCF(73088,73092) = 4
LCM(73088,73092) = ( 73088 × 73092) / 4
LCM(73088,73092) = 5342148096 / 4
LCM(73088,73092) = 1335537024

Least Common Multiple (LCM) of 73088 and 73092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73088 and 73092. First we will calculate the prime factors of 73088 and 73092.

Prime Factorization of 73088

Prime Factorization of 73092

Now multiplying the highest exponent prime factors to calculate the LCM of 73088 and 73092.

LCM(73088,73092) = 2⁷ × 571¹ × 3¹ × 6091¹
LCM(73088,73092) = 1335537024