What is the Least Common Multiple of 6333 and 6351?

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 6333 and 6351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6333 and 6351, than apply into the LCM equation.

GCF(6333,6351) = 3
LCM(6333,6351) = ( 6333 × 6351) / 3
LCM(6333,6351) = 40220883 / 3
LCM(6333,6351) = 13406961

Least Common Multiple (LCM) of 6333 and 6351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6333 and 6351. First we will calculate the prime factors of 6333 and 6351.

Prime Factorization of 6333

Prime Factorization of 6351

Now multiplying the highest exponent prime factors to calculate the LCM of 6333 and 6351.

LCM(6333,6351) = 3¹ × 2111¹ × 29¹ × 73¹
LCM(6333,6351) = 13406961