What is the Least Common Multiple of 76239 and 76257?

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 76239 and 76257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76239 and 76257, than apply into the LCM equation.

GCF(76239,76257) = 9
LCM(76239,76257) = ( 76239 × 76257) / 9
LCM(76239,76257) = 5813757423 / 9
LCM(76239,76257) = 645973047

Least Common Multiple (LCM) of 76239 and 76257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76239 and 76257. First we will calculate the prime factors of 76239 and 76257.

Prime Factorization of 76239

Prime Factorization of 76257

Now multiplying the highest exponent prime factors to calculate the LCM of 76239 and 76257.

LCM(76239,76257) = 3² × 43¹ × 197¹ × 37¹ × 229¹
LCM(76239,76257) = 645973047