What is the Least Common Multiple of 6330 and 6345?

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 6330 and 6345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6330 and 6345, than apply into the LCM equation.

GCF(6330,6345) = 15
LCM(6330,6345) = ( 6330 × 6345) / 15
LCM(6330,6345) = 40163850 / 15
LCM(6330,6345) = 2677590

Least Common Multiple (LCM) of 6330 and 6345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6330 and 6345. First we will calculate the prime factors of 6330 and 6345.

Prime Factorization of 6330

Prime Factorization of 6345

Now multiplying the highest exponent prime factors to calculate the LCM of 6330 and 6345.

LCM(6330,6345) = 2¹ × 3³ × 5¹ × 211¹ × 47¹
LCM(6330,6345) = 2677590