What is the Least Common Multiple of 80909 and 80926?

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 80909 and 80926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80909 and 80926, than apply into the LCM equation.

GCF(80909,80926) = 1
LCM(80909,80926) = ( 80909 × 80926) / 1
LCM(80909,80926) = 6547641734 / 1
LCM(80909,80926) = 6547641734

Least Common Multiple (LCM) of 80909 and 80926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80909 and 80926. First we will calculate the prime factors of 80909 and 80926.

Prime Factorization of 80909

Prime Factorization of 80926

Now multiplying the highest exponent prime factors to calculate the LCM of 80909 and 80926.

LCM(80909,80926) = 80909¹ × 2¹ × 43¹ × 941¹
LCM(80909,80926) = 6547641734