What is the Least Common Multiple of 57300 and 57306?

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 57306 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 57306, than apply into the LCM equation.

GCF(57300,57306) = 6
LCM(57300,57306) = ( 57300 × 57306) / 6
LCM(57300,57306) = 3283633800 / 6
LCM(57300,57306) = 547272300

Least Common Multiple (LCM) of 57300 and 57306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57300 and 57306. First we will calculate the prime factors of 57300 and 57306.

Prime Factorization of 57300

Prime Factorization of 57306

Now multiplying the highest exponent prime factors to calculate the LCM of 57300 and 57306.

LCM(57300,57306) = 2² × 3¹ × 5² × 191¹ × 9551¹
LCM(57300,57306) = 547272300