What is the Least Common Multiple of 91965 and 91975?

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 91965 and 91975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91965 and 91975, than apply into the LCM equation.

GCF(91965,91975) = 5
LCM(91965,91975) = ( 91965 × 91975) / 5
LCM(91965,91975) = 8458480875 / 5
LCM(91965,91975) = 1691696175

Least Common Multiple (LCM) of 91965 and 91975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91965 and 91975. First we will calculate the prime factors of 91965 and 91975.

Prime Factorization of 91965

Prime Factorization of 91975

Now multiplying the highest exponent prime factors to calculate the LCM of 91965 and 91975.

LCM(91965,91975) = 3¹ × 5² × 6131¹ × 13¹ × 283¹
LCM(91965,91975) = 1691696175