What is the Least Common Multiple of 57435 and 57449?

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 57435 and 57449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57435 and 57449, than apply into the LCM equation.

GCF(57435,57449) = 7
LCM(57435,57449) = ( 57435 × 57449) / 7
LCM(57435,57449) = 3299583315 / 7
LCM(57435,57449) = 471369045

Least Common Multiple (LCM) of 57435 and 57449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57435 and 57449. First we will calculate the prime factors of 57435 and 57449.

Prime Factorization of 57435

Prime Factorization of 57449

Now multiplying the highest exponent prime factors to calculate the LCM of 57435 and 57449.

LCM(57435,57449) = 3¹ × 5¹ × 7¹ × 547¹ × 29¹ × 283¹
LCM(57435,57449) = 471369045