What is the Least Common Multiple of 81976 and 81993?

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 81976 and 81993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81976 and 81993, than apply into the LCM equation.

GCF(81976,81993) = 1
LCM(81976,81993) = ( 81976 × 81993) / 1
LCM(81976,81993) = 6721458168 / 1
LCM(81976,81993) = 6721458168

Least Common Multiple (LCM) of 81976 and 81993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81976 and 81993. First we will calculate the prime factors of 81976 and 81993.

Prime Factorization of 81976

Prime Factorization of 81993

Now multiplying the highest exponent prime factors to calculate the LCM of 81976 and 81993.

LCM(81976,81993) = 2³ × 10247¹ × 3¹ × 151¹ × 181¹
LCM(81976,81993) = 6721458168