What is the Least Common Multiple of 62835 and 62847?

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 62835 and 62847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62835 and 62847, than apply into the LCM equation.

GCF(62835,62847) = 3
LCM(62835,62847) = ( 62835 × 62847) / 3
LCM(62835,62847) = 3948991245 / 3
LCM(62835,62847) = 1316330415

Least Common Multiple (LCM) of 62835 and 62847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62835 and 62847. First we will calculate the prime factors of 62835 and 62847.

Prime Factorization of 62835

Prime Factorization of 62847

Now multiplying the highest exponent prime factors to calculate the LCM of 62835 and 62847.

LCM(62835,62847) = 3² × 5¹ × 59¹ × 71¹ × 6983¹
LCM(62835,62847) = 1316330415