What is the Least Common Multiple of 52355 and 52363?

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 52355 and 52363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52355 and 52363, than apply into the LCM equation.

GCF(52355,52363) = 1
LCM(52355,52363) = ( 52355 × 52363) / 1
LCM(52355,52363) = 2741464865 / 1
LCM(52355,52363) = 2741464865

Least Common Multiple (LCM) of 52355 and 52363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52355 and 52363. First we will calculate the prime factors of 52355 and 52363.

Prime Factorization of 52355

Prime Factorization of 52363

Now multiplying the highest exponent prime factors to calculate the LCM of 52355 and 52363.

LCM(52355,52363) = 5¹ × 37¹ × 283¹ × 52363¹
LCM(52355,52363) = 2741464865