What is the Least Common Multiple of 53294 and 53311?

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 53294 and 53311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53294 and 53311, than apply into the LCM equation.

GCF(53294,53311) = 1
LCM(53294,53311) = ( 53294 × 53311) / 1
LCM(53294,53311) = 2841156434 / 1
LCM(53294,53311) = 2841156434

Least Common Multiple (LCM) of 53294 and 53311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53294 and 53311. First we will calculate the prime factors of 53294 and 53311.

Prime Factorization of 53294

Prime Factorization of 53311

Now multiplying the highest exponent prime factors to calculate the LCM of 53294 and 53311.

LCM(53294,53311) = 2¹ × 26647¹ × 89¹ × 599¹
LCM(53294,53311) = 2841156434