What is the Least Common Multiple of 91174 and 91185?

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 91174 and 91185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91174 and 91185, than apply into the LCM equation.

GCF(91174,91185) = 1
LCM(91174,91185) = ( 91174 × 91185) / 1
LCM(91174,91185) = 8313701190 / 1
LCM(91174,91185) = 8313701190

Least Common Multiple (LCM) of 91174 and 91185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91174 and 91185. First we will calculate the prime factors of 91174 and 91185.

Prime Factorization of 91174

Prime Factorization of 91185

Now multiplying the highest exponent prime factors to calculate the LCM of 91174 and 91185.

LCM(91174,91185) = 2¹ × 45587¹ × 3¹ × 5¹ × 6079¹
LCM(91174,91185) = 8313701190