What is the Least Common Multiple of 25740 and 25748?

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 25740 and 25748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25740 and 25748, than apply into the LCM equation.

GCF(25740,25748) = 4
LCM(25740,25748) = ( 25740 × 25748) / 4
LCM(25740,25748) = 662753520 / 4
LCM(25740,25748) = 165688380

Least Common Multiple (LCM) of 25740 and 25748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25740 and 25748. First we will calculate the prime factors of 25740 and 25748.

Prime Factorization of 25740

Prime Factorization of 25748

Now multiplying the highest exponent prime factors to calculate the LCM of 25740 and 25748.

LCM(25740,25748) = 2² × 3² × 5¹ × 11¹ × 13¹ × 41¹ × 157¹
LCM(25740,25748) = 165688380