What is the Least Common Multiple of 51255 and 51270?

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 51255 and 51270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51255 and 51270, than apply into the LCM equation.

GCF(51255,51270) = 15
LCM(51255,51270) = ( 51255 × 51270) / 15
LCM(51255,51270) = 2627843850 / 15
LCM(51255,51270) = 175189590

Least Common Multiple (LCM) of 51255 and 51270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51255 and 51270. First we will calculate the prime factors of 51255 and 51270.

Prime Factorization of 51255

Prime Factorization of 51270

Now multiplying the highest exponent prime factors to calculate the LCM of 51255 and 51270.

LCM(51255,51270) = 3² × 5¹ × 17¹ × 67¹ × 2¹ × 1709¹
LCM(51255,51270) = 175189590