What is the Least Common Multiple of 91189 and 91196?

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 91189 and 91196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91189 and 91196, than apply into the LCM equation.

GCF(91189,91196) = 7
LCM(91189,91196) = ( 91189 × 91196) / 7
LCM(91189,91196) = 8316072044 / 7
LCM(91189,91196) = 1188010292

Least Common Multiple (LCM) of 91189 and 91196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91189 and 91196. First we will calculate the prime factors of 91189 and 91196.

Prime Factorization of 91189

Prime Factorization of 91196

Now multiplying the highest exponent prime factors to calculate the LCM of 91189 and 91196.

LCM(91189,91196) = 7² × 1861¹ × 2² × 3257¹
LCM(91189,91196) = 1188010292