GCF and LCM Calculator Logo

What is the Least Common Multiple of 10522 and 10538?

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 10522 and 10538 is 55440418.

LCM(10522,10538) = 55440418

LCM Calculator and
and

Least Common Multiple of 10522 and 10538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10522 and 10538, than apply into the LCM equation.

GCF(10522,10538) = 2
LCM(10522,10538) = ( 10522 × 10538) / 2
LCM(10522,10538) = 110880836 / 2
LCM(10522,10538) = 55440418

Least Common Multiple (LCM) of 10522 and 10538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10522 and 10538. First we will calculate the prime factors of 10522 and 10538.

Prime Factorization of 10522

Prime factors of 10522 are 2, 5261. Prime factorization of 10522 in exponential form is:

10522 = 21 × 52611

Prime Factorization of 10538

Prime factors of 10538 are 2, 11, 479. Prime factorization of 10538 in exponential form is:

10538 = 21 × 111 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 10522 and 10538.

LCM(10522,10538) = 21 × 52611 × 111 × 4791
LCM(10522,10538) = 55440418