What is the Least Common Multiple of 88161 and 88175?

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 88161 and 88175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88161 and 88175, than apply into the LCM equation.

GCF(88161,88175) = 1
LCM(88161,88175) = ( 88161 × 88175) / 1
LCM(88161,88175) = 7773596175 / 1
LCM(88161,88175) = 7773596175

Least Common Multiple (LCM) of 88161 and 88175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88161 and 88175. First we will calculate the prime factors of 88161 and 88175.

Prime Factorization of 88161

Prime Factorization of 88175

Now multiplying the highest exponent prime factors to calculate the LCM of 88161 and 88175.

LCM(88161,88175) = 3¹ × 29387¹ × 5² × 3527¹
LCM(88161,88175) = 7773596175