What is the Least Common Multiple of 57585 and 57596?

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 57585 and 57596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57585 and 57596, than apply into the LCM equation.

GCF(57585,57596) = 11
LCM(57585,57596) = ( 57585 × 57596) / 11
LCM(57585,57596) = 3316665660 / 11
LCM(57585,57596) = 301515060

Least Common Multiple (LCM) of 57585 and 57596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57585 and 57596. First we will calculate the prime factors of 57585 and 57596.

Prime Factorization of 57585

Prime Factorization of 57596

Now multiplying the highest exponent prime factors to calculate the LCM of 57585 and 57596.

LCM(57585,57596) = 3¹ × 5¹ × 11² × 349¹ × 2² × 7¹ × 17¹
LCM(57585,57596) = 301515060