What is the Least Common Multiple of 88725 and 88738?

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 88738 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 88738, than apply into the LCM equation.

GCF(88725,88738) = 13
LCM(88725,88738) = ( 88725 × 88738) / 13
LCM(88725,88738) = 7873279050 / 13
LCM(88725,88738) = 605636850

Least Common Multiple (LCM) of 88725 and 88738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88725 and 88738. First we will calculate the prime factors of 88725 and 88738.

Prime Factorization of 88725

Prime Factorization of 88738

Now multiplying the highest exponent prime factors to calculate the LCM of 88725 and 88738.

LCM(88725,88738) = 3¹ × 5² × 7¹ × 13² × 2¹ × 3413¹
LCM(88725,88738) = 605636850