GCF and LCM Calculator Logo

What is the Least Common Multiple of 10555 and 10573?

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 (LCM) of 10555 and 10573 is 111598015.

LCM(10555,10573) = 111598015

LCM Calculator and
and

Least Common Multiple of 10555 and 10573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10555 and 10573, than apply into the LCM equation.

GCF(10555,10573) = 1
LCM(10555,10573) = ( 10555 × 10573) / 1
LCM(10555,10573) = 111598015 / 1
LCM(10555,10573) = 111598015

Least Common Multiple (LCM) of 10555 and 10573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10555 and 10573. First we will calculate the prime factors of 10555 and 10573.

Prime Factorization of 10555

Prime factors of 10555 are 5, 2111. Prime factorization of 10555 in exponential form is:

10555 = 51 × 21111

Prime Factorization of 10573

Prime factors of 10573 are 97, 109. Prime factorization of 10573 in exponential form is:

10573 = 971 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 10555 and 10573.

LCM(10555,10573) = 51 × 21111 × 971 × 1091
LCM(10555,10573) = 111598015