What is the Least Common Multiple of 53282 and 53289?

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 53282 and 53289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53282 and 53289, than apply into the LCM equation.

GCF(53282,53289) = 1
LCM(53282,53289) = ( 53282 × 53289) / 1
LCM(53282,53289) = 2839344498 / 1
LCM(53282,53289) = 2839344498

Least Common Multiple (LCM) of 53282 and 53289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53282 and 53289. First we will calculate the prime factors of 53282 and 53289.

Prime Factorization of 53282

Prime Factorization of 53289

Now multiplying the highest exponent prime factors to calculate the LCM of 53282 and 53289.

LCM(53282,53289) = 2¹ × 26641¹ × 3² × 31¹ × 191¹
LCM(53282,53289) = 2839344498