What is the Least Common Multiple of 91175 and 91195?

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 91175 and 91195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91175 and 91195, than apply into the LCM equation.

GCF(91175,91195) = 5
LCM(91175,91195) = ( 91175 × 91195) / 5
LCM(91175,91195) = 8314704125 / 5
LCM(91175,91195) = 1662940825

Least Common Multiple (LCM) of 91175 and 91195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91175 and 91195. First we will calculate the prime factors of 91175 and 91195.

Prime Factorization of 91175

Prime Factorization of 91195

Now multiplying the highest exponent prime factors to calculate the LCM of 91175 and 91195.

LCM(91175,91195) = 5² × 7¹ × 521¹ × 13¹ × 23¹ × 61¹
LCM(91175,91195) = 1662940825