What is the Least Common Multiple of 91170 and 91189?

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 91170 and 91189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91170 and 91189, than apply into the LCM equation.

GCF(91170,91189) = 1
LCM(91170,91189) = ( 91170 × 91189) / 1
LCM(91170,91189) = 8313701130 / 1
LCM(91170,91189) = 8313701130

Least Common Multiple (LCM) of 91170 and 91189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91170 and 91189. First we will calculate the prime factors of 91170 and 91189.

Prime Factorization of 91170

Prime Factorization of 91189

Now multiplying the highest exponent prime factors to calculate the LCM of 91170 and 91189.

LCM(91170,91189) = 2¹ × 3² × 5¹ × 1013¹ × 7² × 1861¹
LCM(91170,91189) = 8313701130