What is the Least Common Multiple of 51230 and 51250?

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 51230 and 51250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51230 and 51250, than apply into the LCM equation.

GCF(51230,51250) = 10
LCM(51230,51250) = ( 51230 × 51250) / 10
LCM(51230,51250) = 2625537500 / 10
LCM(51230,51250) = 262553750

Least Common Multiple (LCM) of 51230 and 51250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51230 and 51250. First we will calculate the prime factors of 51230 and 51250.

Prime Factorization of 51230

Prime Factorization of 51250

Now multiplying the highest exponent prime factors to calculate the LCM of 51230 and 51250.

LCM(51230,51250) = 2¹ × 5⁴ × 47¹ × 109¹ × 41¹
LCM(51230,51250) = 262553750