What is the Least Common Multiple of 25724 and 25740?

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 25724 and 25740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25724 and 25740, than apply into the LCM equation.

GCF(25724,25740) = 4
LCM(25724,25740) = ( 25724 × 25740) / 4
LCM(25724,25740) = 662135760 / 4
LCM(25724,25740) = 165533940

Least Common Multiple (LCM) of 25724 and 25740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25724 and 25740. First we will calculate the prime factors of 25724 and 25740.

Prime Factorization of 25724

Prime Factorization of 25740

Now multiplying the highest exponent prime factors to calculate the LCM of 25724 and 25740.

LCM(25724,25740) = 2² × 59¹ × 109¹ × 3² × 5¹ × 11¹ × 13¹
LCM(25724,25740) = 165533940