What is the Least Common Multiple of 53213 and 53223?

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 53213 and 53223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53213 and 53223, than apply into the LCM equation.

GCF(53213,53223) = 1
LCM(53213,53223) = ( 53213 × 53223) / 1
LCM(53213,53223) = 2832155499 / 1
LCM(53213,53223) = 2832155499

Least Common Multiple (LCM) of 53213 and 53223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53213 and 53223. First we will calculate the prime factors of 53213 and 53223.

Prime Factorization of 53213

Prime Factorization of 53223

Now multiplying the highest exponent prime factors to calculate the LCM of 53213 and 53223.

LCM(53213,53223) = 127¹ × 419¹ × 3¹ × 113¹ × 157¹
LCM(53213,53223) = 2832155499