What is the Least Common Multiple of 10574 and 10579?

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 10574 and 10579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10574 and 10579, than apply into the LCM equation.

GCF(10574,10579) = 1
LCM(10574,10579) = ( 10574 × 10579) / 1
LCM(10574,10579) = 111862346 / 1
LCM(10574,10579) = 111862346

Least Common Multiple (LCM) of 10574 and 10579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10574 and 10579. First we will calculate the prime factors of 10574 and 10579.

Prime Factorization of 10574

Prime Factorization of 10579

Now multiplying the highest exponent prime factors to calculate the LCM of 10574 and 10579.

LCM(10574,10579) = 2¹ × 17¹ × 311¹ × 71¹ × 149¹
LCM(10574,10579) = 111862346