What is the Least Common Multiple of 82983 and 82998?

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 82983 and 82998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82983 and 82998, than apply into the LCM equation.

GCF(82983,82998) = 3
LCM(82983,82998) = ( 82983 × 82998) / 3
LCM(82983,82998) = 6887423034 / 3
LCM(82983,82998) = 2295807678

Least Common Multiple (LCM) of 82983 and 82998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82983 and 82998. First we will calculate the prime factors of 82983 and 82998.

Prime Factorization of 82983

Prime Factorization of 82998

Now multiplying the highest exponent prime factors to calculate the LCM of 82983 and 82998.

LCM(82983,82998) = 3³ × 139¹ × 199¹ × 2¹ × 29¹ × 53¹
LCM(82983,82998) = 2295807678