What is the Least Common Multiple of 76338 and 76347?

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 76338 and 76347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76338 and 76347, than apply into the LCM equation.

GCF(76338,76347) = 9
LCM(76338,76347) = ( 76338 × 76347) / 9
LCM(76338,76347) = 5828177286 / 9
LCM(76338,76347) = 647575254

Least Common Multiple (LCM) of 76338 and 76347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76338 and 76347. First we will calculate the prime factors of 76338 and 76347.

Prime Factorization of 76338

Prime Factorization of 76347

Now multiplying the highest exponent prime factors to calculate the LCM of 76338 and 76347.

LCM(76338,76347) = 2¹ × 3² × 4241¹ × 17¹ × 499¹
LCM(76338,76347) = 647575254