What is the Least Common Multiple of 25160 and 25176?

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 25160 and 25176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25160 and 25176, than apply into the LCM equation.

GCF(25160,25176) = 8
LCM(25160,25176) = ( 25160 × 25176) / 8
LCM(25160,25176) = 633428160 / 8
LCM(25160,25176) = 79178520

Least Common Multiple (LCM) of 25160 and 25176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25160 and 25176. First we will calculate the prime factors of 25160 and 25176.

Prime Factorization of 25160

Prime Factorization of 25176

Now multiplying the highest exponent prime factors to calculate the LCM of 25160 and 25176.

LCM(25160,25176) = 2³ × 5¹ × 17¹ × 37¹ × 3¹ × 1049¹
LCM(25160,25176) = 79178520