What is the Least Common Multiple of 62982 and 62999?

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 62982 and 62999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62982 and 62999, than apply into the LCM equation.

GCF(62982,62999) = 1
LCM(62982,62999) = ( 62982 × 62999) / 1
LCM(62982,62999) = 3967803018 / 1
LCM(62982,62999) = 3967803018

Least Common Multiple (LCM) of 62982 and 62999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62982 and 62999. First we will calculate the prime factors of 62982 and 62999.

Prime Factorization of 62982

Prime Factorization of 62999

Now multiplying the highest exponent prime factors to calculate the LCM of 62982 and 62999.

LCM(62982,62999) = 2¹ × 3² × 3499¹ × 73¹ × 863¹
LCM(62982,62999) = 3967803018