What is the Least Common Multiple of 25124 and 25137?

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 25124 and 25137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25124 and 25137, than apply into the LCM equation.

GCF(25124,25137) = 1
LCM(25124,25137) = ( 25124 × 25137) / 1
LCM(25124,25137) = 631541988 / 1
LCM(25124,25137) = 631541988

Least Common Multiple (LCM) of 25124 and 25137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25124 and 25137. First we will calculate the prime factors of 25124 and 25137.

Prime Factorization of 25124

Prime Factorization of 25137

Now multiplying the highest exponent prime factors to calculate the LCM of 25124 and 25137.

LCM(25124,25137) = 2² × 11¹ × 571¹ × 3³ × 7² × 19¹
LCM(25124,25137) = 631541988