What is the Least Common Multiple of 57400 and 57407?

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 57400 and 57407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57400 and 57407, than apply into the LCM equation.

GCF(57400,57407) = 7
LCM(57400,57407) = ( 57400 × 57407) / 7
LCM(57400,57407) = 3295161800 / 7
LCM(57400,57407) = 470737400

Least Common Multiple (LCM) of 57400 and 57407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57400 and 57407. First we will calculate the prime factors of 57400 and 57407.

Prime Factorization of 57400

Prime Factorization of 57407

Now multiplying the highest exponent prime factors to calculate the LCM of 57400 and 57407.

LCM(57400,57407) = 2³ × 5² × 7¹ × 41¹ × 59¹ × 139¹
LCM(57400,57407) = 470737400