What is the Least Common Multiple of 88178 and 88195?

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 88178 and 88195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88178 and 88195, than apply into the LCM equation.

GCF(88178,88195) = 1
LCM(88178,88195) = ( 88178 × 88195) / 1
LCM(88178,88195) = 7776858710 / 1
LCM(88178,88195) = 7776858710

Least Common Multiple (LCM) of 88178 and 88195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88178 and 88195. First we will calculate the prime factors of 88178 and 88195.

Prime Factorization of 88178

Prime Factorization of 88195

Now multiplying the highest exponent prime factors to calculate the LCM of 88178 and 88195.

LCM(88178,88195) = 2¹ × 44089¹ × 5¹ × 31¹ × 569¹
LCM(88178,88195) = 7776858710