What is the Least Common Multiple of 74088 and 74098?

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 74098 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 74098, than apply into the LCM equation.

GCF(74088,74098) = 2
LCM(74088,74098) = ( 74088 × 74098) / 2
LCM(74088,74098) = 5489772624 / 2
LCM(74088,74098) = 2744886312

Least Common Multiple (LCM) of 74088 and 74098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74088 and 74098. First we will calculate the prime factors of 74088 and 74098.

Prime Factorization of 74088

Prime Factorization of 74098

Now multiplying the highest exponent prime factors to calculate the LCM of 74088 and 74098.

LCM(74088,74098) = 2³ × 3³ × 7³ × 37049¹
LCM(74088,74098) = 2744886312