What is the Least Common Multiple of 25149 and 25157?

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 25149 and 25157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25149 and 25157, than apply into the LCM equation.

GCF(25149,25157) = 1
LCM(25149,25157) = ( 25149 × 25157) / 1
LCM(25149,25157) = 632673393 / 1
LCM(25149,25157) = 632673393

Least Common Multiple (LCM) of 25149 and 25157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25149 and 25157. First we will calculate the prime factors of 25149 and 25157.

Prime Factorization of 25149

Prime Factorization of 25157

Now multiplying the highest exponent prime factors to calculate the LCM of 25149 and 25157.

LCM(25149,25157) = 3¹ × 83¹ × 101¹ × 11¹ × 2287¹
LCM(25149,25157) = 632673393