What is the Least Common Multiple of 91265 and 91275?

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 91265 and 91275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91265 and 91275, than apply into the LCM equation.

GCF(91265,91275) = 5
LCM(91265,91275) = ( 91265 × 91275) / 5
LCM(91265,91275) = 8330212875 / 5
LCM(91265,91275) = 1666042575

Least Common Multiple (LCM) of 91265 and 91275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91265 and 91275. First we will calculate the prime factors of 91265 and 91275.

Prime Factorization of 91265

Prime Factorization of 91275

Now multiplying the highest exponent prime factors to calculate the LCM of 91265 and 91275.

LCM(91265,91275) = 5² × 18253¹ × 3¹ × 1217¹
LCM(91265,91275) = 1666042575