What is the Least Common Multiple of 53346 and 53359?

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 53346 and 53359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53346 and 53359, than apply into the LCM equation.

GCF(53346,53359) = 1
LCM(53346,53359) = ( 53346 × 53359) / 1
LCM(53346,53359) = 2846489214 / 1
LCM(53346,53359) = 2846489214

Least Common Multiple (LCM) of 53346 and 53359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53346 and 53359. First we will calculate the prime factors of 53346 and 53359.

Prime Factorization of 53346

Prime Factorization of 53359

Now multiplying the highest exponent prime factors to calculate the LCM of 53346 and 53359.

LCM(53346,53359) = 2¹ × 3¹ × 17¹ × 523¹ × 53359¹
LCM(53346,53359) = 2846489214