What is the Least Common Multiple of 53283 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 53283 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 53283 and 53289, than apply into the LCM equation.

GCF(53283,53289) = 3
LCM(53283,53289) = ( 53283 × 53289) / 3
LCM(53283,53289) = 2839397787 / 3
LCM(53283,53289) = 946465929

Least Common Multiple (LCM) of 53283 and 53289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53283 and 53289. First we will calculate the prime factors of 53283 and 53289.

Prime Factorization of 53283

Prime Factorization of 53289

Now multiplying the highest exponent prime factors to calculate the LCM of 53283 and 53289.

LCM(53283,53289) = 3² × 17761¹ × 31¹ × 191¹
LCM(53283,53289) = 946465929