What is the Least Common Multiple of 85088 and 85107?

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 85088 and 85107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85088 and 85107, than apply into the LCM equation.

GCF(85088,85107) = 1
LCM(85088,85107) = ( 85088 × 85107) / 1
LCM(85088,85107) = 7241584416 / 1
LCM(85088,85107) = 7241584416

Least Common Multiple (LCM) of 85088 and 85107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85088 and 85107. First we will calculate the prime factors of 85088 and 85107.

Prime Factorization of 85088

Prime Factorization of 85107

Now multiplying the highest exponent prime factors to calculate the LCM of 85088 and 85107.

LCM(85088,85107) = 2⁵ × 2659¹ × 3¹ × 11¹ × 2579¹
LCM(85088,85107) = 7241584416