What is the Least Common Multiple of 88174 and 88194?

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 88174 and 88194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88174 and 88194, than apply into the LCM equation.

GCF(88174,88194) = 2
LCM(88174,88194) = ( 88174 × 88194) / 2
LCM(88174,88194) = 7776417756 / 2
LCM(88174,88194) = 3888208878

Least Common Multiple (LCM) of 88174 and 88194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88174 and 88194. First we will calculate the prime factors of 88174 and 88194.

Prime Factorization of 88174

Prime Factorization of 88194

Now multiplying the highest exponent prime factors to calculate the LCM of 88174 and 88194.

LCM(88174,88194) = 2¹ × 44087¹ × 3¹ × 14699¹
LCM(88174,88194) = 3888208878