What is the Least Common Multiple of 88909 and 88925?

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 88909 and 88925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88909 and 88925, than apply into the LCM equation.

GCF(88909,88925) = 1
LCM(88909,88925) = ( 88909 × 88925) / 1
LCM(88909,88925) = 7906232825 / 1
LCM(88909,88925) = 7906232825

Least Common Multiple (LCM) of 88909 and 88925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88909 and 88925. First we will calculate the prime factors of 88909 and 88925.

Prime Factorization of 88909

Prime Factorization of 88925

Now multiplying the highest exponent prime factors to calculate the LCM of 88909 and 88925.

LCM(88909,88925) = 67¹ × 1327¹ × 5² × 3557¹
LCM(88909,88925) = 7906232825