What is the Least Common Multiple of 88925 and 88945?

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 88925 and 88945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88925 and 88945, than apply into the LCM equation.

GCF(88925,88945) = 5
LCM(88925,88945) = ( 88925 × 88945) / 5
LCM(88925,88945) = 7909434125 / 5
LCM(88925,88945) = 1581886825

Least Common Multiple (LCM) of 88925 and 88945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88925 and 88945. First we will calculate the prime factors of 88925 and 88945.

Prime Factorization of 88925

Prime Factorization of 88945

Now multiplying the highest exponent prime factors to calculate the LCM of 88925 and 88945.

LCM(88925,88945) = 5² × 3557¹ × 17789¹
LCM(88925,88945) = 1581886825