What is the Least Common Multiple of 78560 and 78574?

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 78560 and 78574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78560 and 78574, than apply into the LCM equation.

GCF(78560,78574) = 2
LCM(78560,78574) = ( 78560 × 78574) / 2
LCM(78560,78574) = 6172773440 / 2
LCM(78560,78574) = 3086386720

Least Common Multiple (LCM) of 78560 and 78574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78560 and 78574. First we will calculate the prime factors of 78560 and 78574.

Prime Factorization of 78560

Prime Factorization of 78574

Now multiplying the highest exponent prime factors to calculate the LCM of 78560 and 78574.

LCM(78560,78574) = 2⁵ × 5¹ × 491¹ × 17¹ × 2311¹
LCM(78560,78574) = 3086386720