What is the Least Common Multiple of 53219 and 53231?

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 53219 and 53231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53219 and 53231, than apply into the LCM equation.

GCF(53219,53231) = 1
LCM(53219,53231) = ( 53219 × 53231) / 1
LCM(53219,53231) = 2832900589 / 1
LCM(53219,53231) = 2832900589

Least Common Multiple (LCM) of 53219 and 53231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53219 and 53231. First we will calculate the prime factors of 53219 and 53231.

Prime Factorization of 53219

Prime Factorization of 53231

Now multiplying the highest exponent prime factors to calculate the LCM of 53219 and 53231.

LCM(53219,53231) = 19¹ × 2801¹ × 53231¹
LCM(53219,53231) = 2832900589