What is the Least Common Multiple of 6348 and 6354?

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 6348 and 6354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6348 and 6354, than apply into the LCM equation.

GCF(6348,6354) = 6
LCM(6348,6354) = ( 6348 × 6354) / 6
LCM(6348,6354) = 40335192 / 6
LCM(6348,6354) = 6722532

Least Common Multiple (LCM) of 6348 and 6354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6348 and 6354. First we will calculate the prime factors of 6348 and 6354.

Prime Factorization of 6348

Prime Factorization of 6354

Now multiplying the highest exponent prime factors to calculate the LCM of 6348 and 6354.

LCM(6348,6354) = 2² × 3² × 23² × 353¹
LCM(6348,6354) = 6722532