What is the Least Common Multiple of 6291 and 6301?

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 6291 and 6301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6291 and 6301, than apply into the LCM equation.

GCF(6291,6301) = 1
LCM(6291,6301) = ( 6291 × 6301) / 1
LCM(6291,6301) = 39639591 / 1
LCM(6291,6301) = 39639591

Least Common Multiple (LCM) of 6291 and 6301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6291 and 6301. First we will calculate the prime factors of 6291 and 6301.

Prime Factorization of 6291

Prime Factorization of 6301

Now multiplying the highest exponent prime factors to calculate the LCM of 6291 and 6301.

LCM(6291,6301) = 3³ × 233¹ × 6301¹
LCM(6291,6301) = 39639591