What is the Least Common Multiple of 53314 and 53332?

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 53314 and 53332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53314 and 53332, than apply into the LCM equation.

GCF(53314,53332) = 2
LCM(53314,53332) = ( 53314 × 53332) / 2
LCM(53314,53332) = 2843342248 / 2
LCM(53314,53332) = 1421671124

Least Common Multiple (LCM) of 53314 and 53332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53314 and 53332. First we will calculate the prime factors of 53314 and 53332.

Prime Factorization of 53314

Prime Factorization of 53332

Now multiplying the highest exponent prime factors to calculate the LCM of 53314 and 53332.

LCM(53314,53332) = 2² × 19¹ × 23¹ × 61¹ × 67¹ × 199¹
LCM(53314,53332) = 1421671124