What is the Least Common Multiple of 94180 and 94188?

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 94180 and 94188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94180 and 94188, than apply into the LCM equation.

GCF(94180,94188) = 4
LCM(94180,94188) = ( 94180 × 94188) / 4
LCM(94180,94188) = 8870625840 / 4
LCM(94180,94188) = 2217656460

Least Common Multiple (LCM) of 94180 and 94188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94180 and 94188. First we will calculate the prime factors of 94180 and 94188.

Prime Factorization of 94180

Prime Factorization of 94188

Now multiplying the highest exponent prime factors to calculate the LCM of 94180 and 94188.

LCM(94180,94188) = 2² × 5¹ × 17¹ × 277¹ × 3¹ × 47¹ × 167¹
LCM(94180,94188) = 2217656460