What is the Least Common Multiple of 80649 and 80667?

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 80649 and 80667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80649 and 80667, than apply into the LCM equation.

GCF(80649,80667) = 9
LCM(80649,80667) = ( 80649 × 80667) / 9
LCM(80649,80667) = 6505712883 / 9
LCM(80649,80667) = 722856987

Least Common Multiple (LCM) of 80649 and 80667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80649 and 80667. First we will calculate the prime factors of 80649 and 80667.

Prime Factorization of 80649

Prime Factorization of 80667

Now multiplying the highest exponent prime factors to calculate the LCM of 80649 and 80667.

LCM(80649,80667) = 3³ × 29¹ × 103¹ × 8963¹
LCM(80649,80667) = 722856987