What is the Least Common Multiple of 76347 and 76363?

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 76347 and 76363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76347 and 76363, than apply into the LCM equation.

GCF(76347,76363) = 1
LCM(76347,76363) = ( 76347 × 76363) / 1
LCM(76347,76363) = 5830085961 / 1
LCM(76347,76363) = 5830085961

Least Common Multiple (LCM) of 76347 and 76363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76347 and 76363. First we will calculate the prime factors of 76347 and 76363.

Prime Factorization of 76347

Prime Factorization of 76363

Now multiplying the highest exponent prime factors to calculate the LCM of 76347 and 76363.

LCM(76347,76363) = 3² × 17¹ × 499¹ × 7¹ × 10909¹
LCM(76347,76363) = 5830085961