What is the Least Common Multiple of 59568 and 59585?

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 59568 and 59585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59568 and 59585, than apply into the LCM equation.

GCF(59568,59585) = 17
LCM(59568,59585) = ( 59568 × 59585) / 17
LCM(59568,59585) = 3549359280 / 17
LCM(59568,59585) = 208785840

Least Common Multiple (LCM) of 59568 and 59585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59568 and 59585. First we will calculate the prime factors of 59568 and 59585.

Prime Factorization of 59568

Prime Factorization of 59585

Now multiplying the highest exponent prime factors to calculate the LCM of 59568 and 59585.

LCM(59568,59585) = 2⁴ × 3¹ × 17¹ × 73¹ × 5¹ × 701¹
LCM(59568,59585) = 208785840