What is the Least Common Multiple of 76260 and 76275?

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 76260 and 76275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76260 and 76275, than apply into the LCM equation.

GCF(76260,76275) = 15
LCM(76260,76275) = ( 76260 × 76275) / 15
LCM(76260,76275) = 5816731500 / 15
LCM(76260,76275) = 387782100

Least Common Multiple (LCM) of 76260 and 76275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76260 and 76275. First we will calculate the prime factors of 76260 and 76275.

Prime Factorization of 76260

Prime Factorization of 76275

Now multiplying the highest exponent prime factors to calculate the LCM of 76260 and 76275.

LCM(76260,76275) = 2² × 3³ × 5² × 31¹ × 41¹ × 113¹
LCM(76260,76275) = 387782100