What is the Least Common Multiple of 88725 and 88735?

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 88725 and 88735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88725 and 88735, than apply into the LCM equation.

GCF(88725,88735) = 5
LCM(88725,88735) = ( 88725 × 88735) / 5
LCM(88725,88735) = 7873012875 / 5
LCM(88725,88735) = 1574602575

Least Common Multiple (LCM) of 88725 and 88735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88725 and 88735. First we will calculate the prime factors of 88725 and 88735.

Prime Factorization of 88725

Prime Factorization of 88735

Now multiplying the highest exponent prime factors to calculate the LCM of 88725 and 88735.

LCM(88725,88735) = 3¹ × 5² × 7¹ × 13² × 17747¹
LCM(88725,88735) = 1574602575