What is the Least Common Multiple of 57435 and 57453?

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 57453 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 57453, than apply into the LCM equation.

GCF(57435,57453) = 3
LCM(57435,57453) = ( 57435 × 57453) / 3
LCM(57435,57453) = 3299813055 / 3
LCM(57435,57453) = 1099937685

Least Common Multiple (LCM) of 57435 and 57453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57435 and 57453. First we will calculate the prime factors of 57435 and 57453.

Prime Factorization of 57435

Prime Factorization of 57453

Now multiplying the highest exponent prime factors to calculate the LCM of 57435 and 57453.

LCM(57435,57453) = 3¹ × 5¹ × 7¹ × 547¹ × 11¹ × 1741¹
LCM(57435,57453) = 1099937685