What is the Least Common Multiple of 25120 and 25140?

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 25120 and 25140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25120 and 25140, than apply into the LCM equation.

GCF(25120,25140) = 20
LCM(25120,25140) = ( 25120 × 25140) / 20
LCM(25120,25140) = 631516800 / 20
LCM(25120,25140) = 31575840

Least Common Multiple (LCM) of 25120 and 25140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25120 and 25140. First we will calculate the prime factors of 25120 and 25140.

Prime Factorization of 25120

Prime Factorization of 25140

Now multiplying the highest exponent prime factors to calculate the LCM of 25120 and 25140.

LCM(25120,25140) = 2⁵ × 5¹ × 157¹ × 3¹ × 419¹
LCM(25120,25140) = 31575840