What is the Least Common Multiple of 81982 and 81996?

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 81982 and 81996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81982 and 81996, than apply into the LCM equation.

GCF(81982,81996) = 2
LCM(81982,81996) = ( 81982 × 81996) / 2
LCM(81982,81996) = 6722196072 / 2
LCM(81982,81996) = 3361098036

Least Common Multiple (LCM) of 81982 and 81996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81982 and 81996. First we will calculate the prime factors of 81982 and 81996.

Prime Factorization of 81982

Prime Factorization of 81996

Now multiplying the highest exponent prime factors to calculate the LCM of 81982 and 81996.

LCM(81982,81996) = 2² × 179¹ × 229¹ × 3¹ × 6833¹
LCM(81982,81996) = 3361098036