What is the Least Common Multiple of 10560 and 10574?

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 10560 and 10574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10560 and 10574, than apply into the LCM equation.

GCF(10560,10574) = 2
LCM(10560,10574) = ( 10560 × 10574) / 2
LCM(10560,10574) = 111661440 / 2
LCM(10560,10574) = 55830720

Least Common Multiple (LCM) of 10560 and 10574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10560 and 10574. First we will calculate the prime factors of 10560 and 10574.

Prime Factorization of 10560

Prime Factorization of 10574

Now multiplying the highest exponent prime factors to calculate the LCM of 10560 and 10574.

LCM(10560,10574) = 2⁶ × 3¹ × 5¹ × 11¹ × 17¹ × 311¹
LCM(10560,10574) = 55830720