What is the Least Common Multiple of 80921 and 80929?

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 80929 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 80929, than apply into the LCM equation.

GCF(80921,80929) = 1
LCM(80921,80929) = ( 80921 × 80929) / 1
LCM(80921,80929) = 6548855609 / 1
LCM(80921,80929) = 6548855609

Least Common Multiple (LCM) of 80921 and 80929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80921 and 80929. First we will calculate the prime factors of 80921 and 80929.

Prime Factorization of 80921

Prime Factorization of 80929

Now multiplying the highest exponent prime factors to calculate the LCM of 80921 and 80929.

LCM(80921,80929) = 19¹ × 4259¹ × 80929¹
LCM(80921,80929) = 6548855609