What is the Least Common Multiple of 8982 and 8998?

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 8982 and 8998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8982 and 8998, than apply into the LCM equation.

GCF(8982,8998) = 2
LCM(8982,8998) = ( 8982 × 8998) / 2
LCM(8982,8998) = 80820036 / 2
LCM(8982,8998) = 40410018

Least Common Multiple (LCM) of 8982 and 8998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8982 and 8998. First we will calculate the prime factors of 8982 and 8998.

Prime Factorization of 8982

Prime Factorization of 8998

Now multiplying the highest exponent prime factors to calculate the LCM of 8982 and 8998.

LCM(8982,8998) = 2¹ × 3² × 499¹ × 11¹ × 409¹
LCM(8982,8998) = 40410018