What is the Least Common Multiple of 75088 and 75107?

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 75088 and 75107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75088 and 75107, than apply into the LCM equation.

GCF(75088,75107) = 19
LCM(75088,75107) = ( 75088 × 75107) / 19
LCM(75088,75107) = 5639634416 / 19
LCM(75088,75107) = 296822864

Least Common Multiple (LCM) of 75088 and 75107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75088 and 75107. First we will calculate the prime factors of 75088 and 75107.

Prime Factorization of 75088

Prime Factorization of 75107

Now multiplying the highest exponent prime factors to calculate the LCM of 75088 and 75107.

LCM(75088,75107) = 2⁴ × 13¹ × 19² × 59¹ × 67¹
LCM(75088,75107) = 296822864