What is the Least Common Multiple of 57314 and 57334?

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 57334 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 57334, than apply into the LCM equation.

GCF(57314,57334) = 2
LCM(57314,57334) = ( 57314 × 57334) / 2
LCM(57314,57334) = 3286040876 / 2
LCM(57314,57334) = 1643020438

Least Common Multiple (LCM) of 57314 and 57334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57314 and 57334. First we will calculate the prime factors of 57314 and 57334.

Prime Factorization of 57314

Prime Factorization of 57334

Now multiplying the highest exponent prime factors to calculate the LCM of 57314 and 57334.

LCM(57314,57334) = 2¹ × 28657¹ × 109¹ × 263¹
LCM(57314,57334) = 1643020438