What is the Least Common Multiple of 73092 and 73110?

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 73092 and 73110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73092 and 73110, than apply into the LCM equation.

GCF(73092,73110) = 6
LCM(73092,73110) = ( 73092 × 73110) / 6
LCM(73092,73110) = 5343756120 / 6
LCM(73092,73110) = 890626020

Least Common Multiple (LCM) of 73092 and 73110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73092 and 73110. First we will calculate the prime factors of 73092 and 73110.

Prime Factorization of 73092

Prime Factorization of 73110

Now multiplying the highest exponent prime factors to calculate the LCM of 73092 and 73110.

LCM(73092,73110) = 2² × 3¹ × 6091¹ × 5¹ × 2437¹
LCM(73092,73110) = 890626020