What is the Least Common Multiple of 88020 and 88025?

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 88020 and 88025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88020 and 88025, than apply into the LCM equation.

GCF(88020,88025) = 5
LCM(88020,88025) = ( 88020 × 88025) / 5
LCM(88020,88025) = 7747960500 / 5
LCM(88020,88025) = 1549592100

Least Common Multiple (LCM) of 88020 and 88025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88020 and 88025. First we will calculate the prime factors of 88020 and 88025.

Prime Factorization of 88020

Prime Factorization of 88025

Now multiplying the highest exponent prime factors to calculate the LCM of 88020 and 88025.

LCM(88020,88025) = 2² × 3³ × 5² × 163¹ × 7¹ × 503¹
LCM(88020,88025) = 1549592100