What is the Least Common Multiple of 57314 and 57332?

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 57332 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 57332, than apply into the LCM equation.

GCF(57314,57332) = 2
LCM(57314,57332) = ( 57314 × 57332) / 2
LCM(57314,57332) = 3285926248 / 2
LCM(57314,57332) = 1642963124

Least Common Multiple (LCM) of 57314 and 57332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57314 and 57332. First we will calculate the prime factors of 57314 and 57332.

Prime Factorization of 57314

Prime Factorization of 57332

Now multiplying the highest exponent prime factors to calculate the LCM of 57314 and 57332.

LCM(57314,57332) = 2² × 28657¹ × 11¹ × 1303¹
LCM(57314,57332) = 1642963124