What is the Least Common Multiple of 6354 and 6372?

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 6354 and 6372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6354 and 6372, than apply into the LCM equation.

GCF(6354,6372) = 18
LCM(6354,6372) = ( 6354 × 6372) / 18
LCM(6354,6372) = 40487688 / 18
LCM(6354,6372) = 2249316

Least Common Multiple (LCM) of 6354 and 6372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6354 and 6372. First we will calculate the prime factors of 6354 and 6372.

Prime Factorization of 6354

Prime Factorization of 6372

Now multiplying the highest exponent prime factors to calculate the LCM of 6354 and 6372.

LCM(6354,6372) = 2² × 3³ × 353¹ × 59¹
LCM(6354,6372) = 2249316