What is the Least Common Multiple of 10574 and 10588?

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 10588 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 10588, than apply into the LCM equation.

GCF(10574,10588) = 2
LCM(10574,10588) = ( 10574 × 10588) / 2
LCM(10574,10588) = 111957512 / 2
LCM(10574,10588) = 55978756

Least Common Multiple (LCM) of 10574 and 10588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10574 and 10588. First we will calculate the prime factors of 10574 and 10588.

Prime Factorization of 10574

Prime Factorization of 10588

Now multiplying the highest exponent prime factors to calculate the LCM of 10574 and 10588.

LCM(10574,10588) = 2² × 17¹ × 311¹ × 2647¹
LCM(10574,10588) = 55978756