What is the Least Common Multiple of 12560 and 12574?

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 12560 and 12574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12560 and 12574, than apply into the LCM equation.

GCF(12560,12574) = 2
LCM(12560,12574) = ( 12560 × 12574) / 2
LCM(12560,12574) = 157929440 / 2
LCM(12560,12574) = 78964720

Least Common Multiple (LCM) of 12560 and 12574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12560 and 12574. First we will calculate the prime factors of 12560 and 12574.

Prime Factorization of 12560

Prime Factorization of 12574

Now multiplying the highest exponent prime factors to calculate the LCM of 12560 and 12574.

LCM(12560,12574) = 2⁴ × 5¹ × 157¹ × 6287¹
LCM(12560,12574) = 78964720