What is the Least Common Multiple of 80921 and 80931?

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 80921 and 80931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80921 and 80931, than apply into the LCM equation.

GCF(80921,80931) = 1
LCM(80921,80931) = ( 80921 × 80931) / 1
LCM(80921,80931) = 6549017451 / 1
LCM(80921,80931) = 6549017451

Least Common Multiple (LCM) of 80921 and 80931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80921 and 80931. First we will calculate the prime factors of 80921 and 80931.

Prime Factorization of 80921

Prime Factorization of 80931

Now multiplying the highest exponent prime factors to calculate the LCM of 80921 and 80931.

LCM(80921,80931) = 19¹ × 4259¹ × 3¹ × 53¹ × 509¹
LCM(80921,80931) = 6549017451