What is the Least Common Multiple of 51250 and 51255?

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 51250 and 51255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51250 and 51255, than apply into the LCM equation.

GCF(51250,51255) = 5
LCM(51250,51255) = ( 51250 × 51255) / 5
LCM(51250,51255) = 2626818750 / 5
LCM(51250,51255) = 525363750

Least Common Multiple (LCM) of 51250 and 51255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51250 and 51255. First we will calculate the prime factors of 51250 and 51255.

Prime Factorization of 51250

Prime Factorization of 51255

Now multiplying the highest exponent prime factors to calculate the LCM of 51250 and 51255.

LCM(51250,51255) = 2¹ × 5⁴ × 41¹ × 3² × 17¹ × 67¹
LCM(51250,51255) = 525363750