What is the Least Common Multiple of 88180 and 88189?

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 88180 and 88189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88180 and 88189, than apply into the LCM equation.

GCF(88180,88189) = 1
LCM(88180,88189) = ( 88180 × 88189) / 1
LCM(88180,88189) = 7776506020 / 1
LCM(88180,88189) = 7776506020

Least Common Multiple (LCM) of 88180 and 88189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88180 and 88189. First we will calculate the prime factors of 88180 and 88189.

Prime Factorization of 88180

Prime Factorization of 88189

Now multiplying the highest exponent prime factors to calculate the LCM of 88180 and 88189.

LCM(88180,88189) = 2² × 5¹ × 4409¹ × 29¹ × 3041¹
LCM(88180,88189) = 7776506020