What is the Least Common Multiple of 80869 and 80876?

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 80869 and 80876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80869 and 80876, than apply into the LCM equation.

GCF(80869,80876) = 1
LCM(80869,80876) = ( 80869 × 80876) / 1
LCM(80869,80876) = 6540361244 / 1
LCM(80869,80876) = 6540361244

Least Common Multiple (LCM) of 80869 and 80876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80869 and 80876. First we will calculate the prime factors of 80869 and 80876.

Prime Factorization of 80869

Prime Factorization of 80876

Now multiplying the highest exponent prime factors to calculate the LCM of 80869 and 80876.

LCM(80869,80876) = 17¹ × 67¹ × 71¹ × 2² × 20219¹
LCM(80869,80876) = 6540361244