What is the Least Common Multiple of 6270 and 6282?

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 6270 and 6282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6270 and 6282, than apply into the LCM equation.

GCF(6270,6282) = 6
LCM(6270,6282) = ( 6270 × 6282) / 6
LCM(6270,6282) = 39388140 / 6
LCM(6270,6282) = 6564690

Least Common Multiple (LCM) of 6270 and 6282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6270 and 6282. First we will calculate the prime factors of 6270 and 6282.

Prime Factorization of 6270

Prime Factorization of 6282

Now multiplying the highest exponent prime factors to calculate the LCM of 6270 and 6282.

LCM(6270,6282) = 2¹ × 3² × 5¹ × 11¹ × 19¹ × 349¹
LCM(6270,6282) = 6564690