What is the Least Common Multiple of 57900 and 57909?

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 57900 and 57909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57900 and 57909, than apply into the LCM equation.

GCF(57900,57909) = 3
LCM(57900,57909) = ( 57900 × 57909) / 3
LCM(57900,57909) = 3352931100 / 3
LCM(57900,57909) = 1117643700

Least Common Multiple (LCM) of 57900 and 57909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57900 and 57909. First we will calculate the prime factors of 57900 and 57909.

Prime Factorization of 57900

Prime Factorization of 57909

Now multiplying the highest exponent prime factors to calculate the LCM of 57900 and 57909.

LCM(57900,57909) = 2² × 3¹ × 5² × 193¹ × 97¹ × 199¹
LCM(57900,57909) = 1117643700