What is the Least Common Multiple of 85188 and 85198?

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 85188 and 85198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85188 and 85198, than apply into the LCM equation.

GCF(85188,85198) = 2
LCM(85188,85198) = ( 85188 × 85198) / 2
LCM(85188,85198) = 7257847224 / 2
LCM(85188,85198) = 3628923612

Least Common Multiple (LCM) of 85188 and 85198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85188 and 85198. First we will calculate the prime factors of 85188 and 85198.

Prime Factorization of 85188

Prime Factorization of 85198

Now multiplying the highest exponent prime factors to calculate the LCM of 85188 and 85198.

LCM(85188,85198) = 2² × 3¹ × 31¹ × 229¹ × 41¹ × 1039¹
LCM(85188,85198) = 3628923612