What is the Least Common Multiple of 25128 and 25142?

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 25128 and 25142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25128 and 25142, than apply into the LCM equation.

GCF(25128,25142) = 2
LCM(25128,25142) = ( 25128 × 25142) / 2
LCM(25128,25142) = 631768176 / 2
LCM(25128,25142) = 315884088

Least Common Multiple (LCM) of 25128 and 25142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25128 and 25142. First we will calculate the prime factors of 25128 and 25142.

Prime Factorization of 25128

Prime Factorization of 25142

Now multiplying the highest exponent prime factors to calculate the LCM of 25128 and 25142.

LCM(25128,25142) = 2³ × 3² × 349¹ × 13¹ × 967¹
LCM(25128,25142) = 315884088