What is the Least Common Multiple of 76284 and 76296?

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 76284 and 76296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76284 and 76296, than apply into the LCM equation.

GCF(76284,76296) = 12
LCM(76284,76296) = ( 76284 × 76296) / 12
LCM(76284,76296) = 5820164064 / 12
LCM(76284,76296) = 485013672

Least Common Multiple (LCM) of 76284 and 76296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76284 and 76296. First we will calculate the prime factors of 76284 and 76296.

Prime Factorization of 76284

Prime Factorization of 76296

Now multiplying the highest exponent prime factors to calculate the LCM of 76284 and 76296.

LCM(76284,76296) = 2³ × 3² × 13¹ × 163¹ × 11¹ × 17²
LCM(76284,76296) = 485013672