What is the Least Common Multiple of 59504 and 59511?

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 59504 and 59511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59504 and 59511, than apply into the LCM equation.

GCF(59504,59511) = 1
LCM(59504,59511) = ( 59504 × 59511) / 1
LCM(59504,59511) = 3541142544 / 1
LCM(59504,59511) = 3541142544

Least Common Multiple (LCM) of 59504 and 59511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59504 and 59511. First we will calculate the prime factors of 59504 and 59511.

Prime Factorization of 59504

Prime Factorization of 59511

Now multiplying the highest exponent prime factors to calculate the LCM of 59504 and 59511.

LCM(59504,59511) = 2⁴ × 3719¹ × 3¹ × 83¹ × 239¹
LCM(59504,59511) = 3541142544