What is the Least Common Multiple of 57319 and 57337?

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 57319 and 57337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57319 and 57337, than apply into the LCM equation.

GCF(57319,57337) = 1
LCM(57319,57337) = ( 57319 × 57337) / 1
LCM(57319,57337) = 3286499503 / 1
LCM(57319,57337) = 3286499503

Least Common Multiple (LCM) of 57319 and 57337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57319 and 57337. First we will calculate the prime factors of 57319 and 57337.

Prime Factorization of 57319

Prime Factorization of 57337

Now multiplying the highest exponent prime factors to calculate the LCM of 57319 and 57337.

LCM(57319,57337) = 31¹ × 43² × 7¹ × 8191¹
LCM(57319,57337) = 3286499503