What is the Least Common Multiple of 88745 and 88755?

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 88745 and 88755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88745 and 88755, than apply into the LCM equation.

GCF(88745,88755) = 5
LCM(88745,88755) = ( 88745 × 88755) / 5
LCM(88745,88755) = 7876562475 / 5
LCM(88745,88755) = 1575312495

Least Common Multiple (LCM) of 88745 and 88755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88745 and 88755. First we will calculate the prime factors of 88745 and 88755.

Prime Factorization of 88745

Prime Factorization of 88755

Now multiplying the highest exponent prime factors to calculate the LCM of 88745 and 88755.

LCM(88745,88755) = 5¹ × 17749¹ × 3¹ × 61¹ × 97¹
LCM(88745,88755) = 1575312495