What is the Least Common Multiple of 62187 and 62199?

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 62187 and 62199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62187 and 62199, than apply into the LCM equation.

GCF(62187,62199) = 3
LCM(62187,62199) = ( 62187 × 62199) / 3
LCM(62187,62199) = 3867969213 / 3
LCM(62187,62199) = 1289323071

Least Common Multiple (LCM) of 62187 and 62199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62187 and 62199. First we will calculate the prime factors of 62187 and 62199.

Prime Factorization of 62187

Prime Factorization of 62199

Now multiplying the highest exponent prime factors to calculate the LCM of 62187 and 62199.

LCM(62187,62199) = 3² × 19¹ × 1091¹ × 6911¹
LCM(62187,62199) = 1289323071