What is the Least Common Multiple of 57314 and 57333?

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 57314 and 57333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57314 and 57333, than apply into the LCM equation.

GCF(57314,57333) = 1
LCM(57314,57333) = ( 57314 × 57333) / 1
LCM(57314,57333) = 3285983562 / 1
LCM(57314,57333) = 3285983562

Least Common Multiple (LCM) of 57314 and 57333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57314 and 57333. First we will calculate the prime factors of 57314 and 57333.

Prime Factorization of 57314

Prime Factorization of 57333

Now multiplying the highest exponent prime factors to calculate the LCM of 57314 and 57333.

LCM(57314,57333) = 2¹ × 28657¹ × 3¹ × 29¹ × 659¹
LCM(57314,57333) = 3285983562