What is the Least Common Multiple of 61250 and 61254?

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 61250 and 61254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61250 and 61254, than apply into the LCM equation.

GCF(61250,61254) = 2
LCM(61250,61254) = ( 61250 × 61254) / 2
LCM(61250,61254) = 3751807500 / 2
LCM(61250,61254) = 1875903750

Least Common Multiple (LCM) of 61250 and 61254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61250 and 61254. First we will calculate the prime factors of 61250 and 61254.

Prime Factorization of 61250

Prime Factorization of 61254

Now multiplying the highest exponent prime factors to calculate the LCM of 61250 and 61254.

LCM(61250,61254) = 2¹ × 5⁴ × 7² × 3² × 41¹ × 83¹
LCM(61250,61254) = 1875903750