What is the Least Common Multiple of 83982 and 83989?

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 83982 and 83989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83982 and 83989, than apply into the LCM equation.

GCF(83982,83989) = 1
LCM(83982,83989) = ( 83982 × 83989) / 1
LCM(83982,83989) = 7053564198 / 1
LCM(83982,83989) = 7053564198

Least Common Multiple (LCM) of 83982 and 83989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83982 and 83989. First we will calculate the prime factors of 83982 and 83989.

Prime Factorization of 83982

Prime Factorization of 83989

Now multiplying the highest exponent prime factors to calculate the LCM of 83982 and 83989.

LCM(83982,83989) = 2¹ × 3¹ × 13997¹ × 47¹ × 1787¹
LCM(83982,83989) = 7053564198