What is the Least Common Multiple of 91185 and 91194?

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 91185 and 91194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91185 and 91194, than apply into the LCM equation.

GCF(91185,91194) = 3
LCM(91185,91194) = ( 91185 × 91194) / 3
LCM(91185,91194) = 8315524890 / 3
LCM(91185,91194) = 2771841630

Least Common Multiple (LCM) of 91185 and 91194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91185 and 91194. First we will calculate the prime factors of 91185 and 91194.

Prime Factorization of 91185

Prime Factorization of 91194

Now multiplying the highest exponent prime factors to calculate the LCM of 91185 and 91194.

LCM(91185,91194) = 3¹ × 5¹ × 6079¹ × 2¹ × 15199¹
LCM(91185,91194) = 2771841630