What is the Least Common Multiple of 25740 and 25749?

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 25749 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 25749, than apply into the LCM equation.

GCF(25740,25749) = 9
LCM(25740,25749) = ( 25740 × 25749) / 9
LCM(25740,25749) = 662779260 / 9
LCM(25740,25749) = 73642140

Least Common Multiple (LCM) of 25740 and 25749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25740 and 25749. First we will calculate the prime factors of 25740 and 25749.

Prime Factorization of 25740

Prime Factorization of 25749

Now multiplying the highest exponent prime factors to calculate the LCM of 25740 and 25749.

LCM(25740,25749) = 2² × 3² × 5¹ × 11¹ × 13¹ × 2861¹
LCM(25740,25749) = 73642140