What is the Least Common Multiple of 9177 and 9196?

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 9177 and 9196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9177 and 9196, than apply into the LCM equation.

GCF(9177,9196) = 19
LCM(9177,9196) = ( 9177 × 9196) / 19
LCM(9177,9196) = 84391692 / 19
LCM(9177,9196) = 4441668

Least Common Multiple (LCM) of 9177 and 9196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9177 and 9196. First we will calculate the prime factors of 9177 and 9196.

Prime Factorization of 9177

Prime Factorization of 9196

Now multiplying the highest exponent prime factors to calculate the LCM of 9177 and 9196.

LCM(9177,9196) = 3¹ × 7¹ × 19¹ × 23¹ × 2² × 11²
LCM(9177,9196) = 4441668