What is the Least Common Multiple of 6560 and 6574?

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 6560 and 6574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6560 and 6574, than apply into the LCM equation.

GCF(6560,6574) = 2
LCM(6560,6574) = ( 6560 × 6574) / 2
LCM(6560,6574) = 43125440 / 2
LCM(6560,6574) = 21562720

Least Common Multiple (LCM) of 6560 and 6574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6560 and 6574. First we will calculate the prime factors of 6560 and 6574.

Prime Factorization of 6560

Prime Factorization of 6574

Now multiplying the highest exponent prime factors to calculate the LCM of 6560 and 6574.

LCM(6560,6574) = 2⁵ × 5¹ × 41¹ × 19¹ × 173¹
LCM(6560,6574) = 21562720