What is the Least Common Multiple of 88735 and 88750?

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 88735 and 88750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88735 and 88750, than apply into the LCM equation.

GCF(88735,88750) = 5
LCM(88735,88750) = ( 88735 × 88750) / 5
LCM(88735,88750) = 7875231250 / 5
LCM(88735,88750) = 1575046250

Least Common Multiple (LCM) of 88735 and 88750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88735 and 88750. First we will calculate the prime factors of 88735 and 88750.

Prime Factorization of 88735

Prime Factorization of 88750

Now multiplying the highest exponent prime factors to calculate the LCM of 88735 and 88750.

LCM(88735,88750) = 5⁴ × 17747¹ × 2¹ × 71¹
LCM(88735,88750) = 1575046250