What is the Least Common Multiple of 6320 and 6330?

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 6320 and 6330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6320 and 6330, than apply into the LCM equation.

GCF(6320,6330) = 10
LCM(6320,6330) = ( 6320 × 6330) / 10
LCM(6320,6330) = 40005600 / 10
LCM(6320,6330) = 4000560

Least Common Multiple (LCM) of 6320 and 6330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6320 and 6330. First we will calculate the prime factors of 6320 and 6330.

Prime Factorization of 6320

Prime Factorization of 6330

Now multiplying the highest exponent prime factors to calculate the LCM of 6320 and 6330.

LCM(6320,6330) = 2⁴ × 5¹ × 79¹ × 3¹ × 211¹
LCM(6320,6330) = 4000560