What is the Least Common Multiple of 88525 and 88545?

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 88525 and 88545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88525 and 88545, than apply into the LCM equation.

GCF(88525,88545) = 5
LCM(88525,88545) = ( 88525 × 88545) / 5
LCM(88525,88545) = 7838446125 / 5
LCM(88525,88545) = 1567689225

Least Common Multiple (LCM) of 88525 and 88545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88525 and 88545. First we will calculate the prime factors of 88525 and 88545.

Prime Factorization of 88525

Prime Factorization of 88545

Now multiplying the highest exponent prime factors to calculate the LCM of 88525 and 88545.

LCM(88525,88545) = 5² × 3541¹ × 3¹ × 5903¹
LCM(88525,88545) = 1567689225