What is the Least Common Multiple of 25674 and 25680?

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 25674 and 25680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25674 and 25680, than apply into the LCM equation.

GCF(25674,25680) = 6
LCM(25674,25680) = ( 25674 × 25680) / 6
LCM(25674,25680) = 659308320 / 6
LCM(25674,25680) = 109884720

Least Common Multiple (LCM) of 25674 and 25680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25674 and 25680. First we will calculate the prime factors of 25674 and 25680.

Prime Factorization of 25674

Prime Factorization of 25680

Now multiplying the highest exponent prime factors to calculate the LCM of 25674 and 25680.

LCM(25674,25680) = 2⁴ × 3¹ × 11¹ × 389¹ × 5¹ × 107¹
LCM(25674,25680) = 109884720