What is the Least Common Multiple of 76302 and 76311?

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 76302 and 76311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76302 and 76311, than apply into the LCM equation.

GCF(76302,76311) = 9
LCM(76302,76311) = ( 76302 × 76311) / 9
LCM(76302,76311) = 5822681922 / 9
LCM(76302,76311) = 646964658

Least Common Multiple (LCM) of 76302 and 76311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76302 and 76311. First we will calculate the prime factors of 76302 and 76311.

Prime Factorization of 76302

Prime Factorization of 76311

Now multiplying the highest exponent prime factors to calculate the LCM of 76302 and 76311.

LCM(76302,76311) = 2¹ × 3⁵ × 157¹ × 61¹ × 139¹
LCM(76302,76311) = 646964658