What is the Least Common Multiple of 57300 and 57314?

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 57300 and 57314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57300 and 57314, than apply into the LCM equation.

GCF(57300,57314) = 2
LCM(57300,57314) = ( 57300 × 57314) / 2
LCM(57300,57314) = 3284092200 / 2
LCM(57300,57314) = 1642046100

Least Common Multiple (LCM) of 57300 and 57314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57300 and 57314. First we will calculate the prime factors of 57300 and 57314.

Prime Factorization of 57300

Prime Factorization of 57314

Now multiplying the highest exponent prime factors to calculate the LCM of 57300 and 57314.

LCM(57300,57314) = 2² × 3¹ × 5² × 191¹ × 28657¹
LCM(57300,57314) = 1642046100