What is the Least Common Multiple of 74088 and 74107?

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 74088 and 74107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74088 and 74107, than apply into the LCM equation.

GCF(74088,74107) = 1
LCM(74088,74107) = ( 74088 × 74107) / 1
LCM(74088,74107) = 5490439416 / 1
LCM(74088,74107) = 5490439416

Least Common Multiple (LCM) of 74088 and 74107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74088 and 74107. First we will calculate the prime factors of 74088 and 74107.

Prime Factorization of 74088

Prime Factorization of 74107

Now multiplying the highest exponent prime factors to calculate the LCM of 74088 and 74107.

LCM(74088,74107) = 2³ × 3³ × 7³ × 11¹ × 6737¹
LCM(74088,74107) = 5490439416