What is the Least Common Multiple of 6255 and 6270?

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 6255 and 6270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6255 and 6270, than apply into the LCM equation.

GCF(6255,6270) = 15
LCM(6255,6270) = ( 6255 × 6270) / 15
LCM(6255,6270) = 39218850 / 15
LCM(6255,6270) = 2614590

Least Common Multiple (LCM) of 6255 and 6270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6255 and 6270. First we will calculate the prime factors of 6255 and 6270.

Prime Factorization of 6255

Prime Factorization of 6270

Now multiplying the highest exponent prime factors to calculate the LCM of 6255 and 6270.

LCM(6255,6270) = 3² × 5¹ × 139¹ × 2¹ × 11¹ × 19¹
LCM(6255,6270) = 2614590