What is the Least Common Multiple of 59841 and 59855?

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 59841 and 59855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59841 and 59855, than apply into the LCM equation.

GCF(59841,59855) = 1
LCM(59841,59855) = ( 59841 × 59855) / 1
LCM(59841,59855) = 3581783055 / 1
LCM(59841,59855) = 3581783055

Least Common Multiple (LCM) of 59841 and 59855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59841 and 59855. First we will calculate the prime factors of 59841 and 59855.

Prime Factorization of 59841

Prime Factorization of 59855

Now multiplying the highest exponent prime factors to calculate the LCM of 59841 and 59855.

LCM(59841,59855) = 3² × 61¹ × 109¹ × 5¹ × 11971¹
LCM(59841,59855) = 3581783055