What is the Least Common Multiple of 25116 and 25134?

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 25116 and 25134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25116 and 25134, than apply into the LCM equation.

GCF(25116,25134) = 6
LCM(25116,25134) = ( 25116 × 25134) / 6
LCM(25116,25134) = 631265544 / 6
LCM(25116,25134) = 105210924

Least Common Multiple (LCM) of 25116 and 25134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25116 and 25134. First we will calculate the prime factors of 25116 and 25134.

Prime Factorization of 25116

Prime Factorization of 25134

Now multiplying the highest exponent prime factors to calculate the LCM of 25116 and 25134.

LCM(25116,25134) = 2² × 3¹ × 7¹ × 13¹ × 23¹ × 59¹ × 71¹
LCM(25116,25134) = 105210924