What is the Least Common Multiple of 59036 and 59056?

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 59036 and 59056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59036 and 59056, than apply into the LCM equation.

GCF(59036,59056) = 4
LCM(59036,59056) = ( 59036 × 59056) / 4
LCM(59036,59056) = 3486430016 / 4
LCM(59036,59056) = 871607504

Least Common Multiple (LCM) of 59036 and 59056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59036 and 59056. First we will calculate the prime factors of 59036 and 59056.

Prime Factorization of 59036

Prime Factorization of 59056

Now multiplying the highest exponent prime factors to calculate the LCM of 59036 and 59056.

LCM(59036,59056) = 2⁴ × 14759¹ × 3691¹
LCM(59036,59056) = 871607504