What is the Least Common Multiple of 76275 and 76284?

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 76275 and 76284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76275 and 76284, than apply into the LCM equation.

GCF(76275,76284) = 9
LCM(76275,76284) = ( 76275 × 76284) / 9
LCM(76275,76284) = 5818562100 / 9
LCM(76275,76284) = 646506900

Least Common Multiple (LCM) of 76275 and 76284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76275 and 76284. First we will calculate the prime factors of 76275 and 76284.

Prime Factorization of 76275

Prime Factorization of 76284

Now multiplying the highest exponent prime factors to calculate the LCM of 76275 and 76284.

LCM(76275,76284) = 3³ × 5² × 113¹ × 2² × 13¹ × 163¹
LCM(76275,76284) = 646506900