What is the Least Common Multiple of 85174 and 85188?

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 85174 and 85188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85174 and 85188, than apply into the LCM equation.

GCF(85174,85188) = 2
LCM(85174,85188) = ( 85174 × 85188) / 2
LCM(85174,85188) = 7255802712 / 2
LCM(85174,85188) = 3627901356

Least Common Multiple (LCM) of 85174 and 85188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85174 and 85188. First we will calculate the prime factors of 85174 and 85188.

Prime Factorization of 85174

Prime Factorization of 85188

Now multiplying the highest exponent prime factors to calculate the LCM of 85174 and 85188.

LCM(85174,85188) = 2² × 37¹ × 1151¹ × 3¹ × 31¹ × 229¹
LCM(85174,85188) = 3627901356