What is the Least Common Multiple of 91375 and 91392?

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 91375 and 91392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91375 and 91392, than apply into the LCM equation.

GCF(91375,91392) = 17
LCM(91375,91392) = ( 91375 × 91392) / 17
LCM(91375,91392) = 8350944000 / 17
LCM(91375,91392) = 491232000

Least Common Multiple (LCM) of 91375 and 91392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91375 and 91392. First we will calculate the prime factors of 91375 and 91392.

Prime Factorization of 91375

Prime Factorization of 91392

Now multiplying the highest exponent prime factors to calculate the LCM of 91375 and 91392.

LCM(91375,91392) = 5³ × 17¹ × 43¹ × 2⁸ × 3¹ × 7¹
LCM(91375,91392) = 491232000