GCF and LCM Calculator Logo

What is the Least Common Multiple of 53503 and 53523?

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 53503 and 53523 is 2863641069.

LCM(53503,53523) = 2863641069

LCM Calculator and
and

Least Common Multiple of 53503 and 53523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53503 and 53523, than apply into the LCM equation.

GCF(53503,53523) = 1
LCM(53503,53523) = ( 53503 × 53523) / 1
LCM(53503,53523) = 2863641069 / 1
LCM(53503,53523) = 2863641069

Least Common Multiple (LCM) of 53503 and 53523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53503 and 53523. First we will calculate the prime factors of 53503 and 53523.

Prime Factorization of 53503

Prime factors of 53503 are 53503. Prime factorization of 53503 in exponential form is:

53503 = 535031

Prime Factorization of 53523

Prime factors of 53523 are 3, 19, 313. Prime factorization of 53523 in exponential form is:

53523 = 32 × 191 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 53503 and 53523.

LCM(53503,53523) = 535031 × 32 × 191 × 3131
LCM(53503,53523) = 2863641069