What is the Least Common Multiple of 12574 and 12592?

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 12574 and 12592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12574 and 12592, than apply into the LCM equation.

GCF(12574,12592) = 2
LCM(12574,12592) = ( 12574 × 12592) / 2
LCM(12574,12592) = 158331808 / 2
LCM(12574,12592) = 79165904

Least Common Multiple (LCM) of 12574 and 12592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12574 and 12592. First we will calculate the prime factors of 12574 and 12592.

Prime Factorization of 12574

Prime Factorization of 12592

Now multiplying the highest exponent prime factors to calculate the LCM of 12574 and 12592.

LCM(12574,12592) = 2⁴ × 6287¹ × 787¹
LCM(12574,12592) = 79165904