What is the Least Common Multiple of 25374 and 25392?

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 25374 and 25392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25374 and 25392, than apply into the LCM equation.

GCF(25374,25392) = 6
LCM(25374,25392) = ( 25374 × 25392) / 6
LCM(25374,25392) = 644296608 / 6
LCM(25374,25392) = 107382768

Least Common Multiple (LCM) of 25374 and 25392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25374 and 25392. First we will calculate the prime factors of 25374 and 25392.

Prime Factorization of 25374

Prime Factorization of 25392

Now multiplying the highest exponent prime factors to calculate the LCM of 25374 and 25392.

LCM(25374,25392) = 2⁴ × 3¹ × 4229¹ × 23²
LCM(25374,25392) = 107382768