What is the Least Common Multiple of 91875 and 91880?

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 91875 and 91880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91875 and 91880, than apply into the LCM equation.

GCF(91875,91880) = 5
LCM(91875,91880) = ( 91875 × 91880) / 5
LCM(91875,91880) = 8441475000 / 5
LCM(91875,91880) = 1688295000

Least Common Multiple (LCM) of 91875 and 91880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91875 and 91880. First we will calculate the prime factors of 91875 and 91880.

Prime Factorization of 91875

Prime Factorization of 91880

Now multiplying the highest exponent prime factors to calculate the LCM of 91875 and 91880.

LCM(91875,91880) = 3¹ × 5⁴ × 7² × 2³ × 2297¹
LCM(91875,91880) = 1688295000