What is the Least Common Multiple of 25114 and 25128?

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 25114 and 25128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25114 and 25128, than apply into the LCM equation.

GCF(25114,25128) = 2
LCM(25114,25128) = ( 25114 × 25128) / 2
LCM(25114,25128) = 631064592 / 2
LCM(25114,25128) = 315532296

Least Common Multiple (LCM) of 25114 and 25128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25114 and 25128. First we will calculate the prime factors of 25114 and 25128.

Prime Factorization of 25114

Prime Factorization of 25128

Now multiplying the highest exponent prime factors to calculate the LCM of 25114 and 25128.

LCM(25114,25128) = 2³ × 29¹ × 433¹ × 3² × 349¹
LCM(25114,25128) = 315532296