What is the Least Common Multiple of 76875 and 76884?

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 76875 and 76884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76875 and 76884, than apply into the LCM equation.

GCF(76875,76884) = 3
LCM(76875,76884) = ( 76875 × 76884) / 3
LCM(76875,76884) = 5910457500 / 3
LCM(76875,76884) = 1970152500

Least Common Multiple (LCM) of 76875 and 76884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76875 and 76884. First we will calculate the prime factors of 76875 and 76884.

Prime Factorization of 76875

Prime Factorization of 76884

Now multiplying the highest exponent prime factors to calculate the LCM of 76875 and 76884.

LCM(76875,76884) = 3¹ × 5⁴ × 41¹ × 2² × 43¹ × 149¹
LCM(76875,76884) = 1970152500