What is the Least Common Multiple of 80608 and 80614?

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 80608 and 80614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80608 and 80614, than apply into the LCM equation.

GCF(80608,80614) = 2
LCM(80608,80614) = ( 80608 × 80614) / 2
LCM(80608,80614) = 6498133312 / 2
LCM(80608,80614) = 3249066656

Least Common Multiple (LCM) of 80608 and 80614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80608 and 80614. First we will calculate the prime factors of 80608 and 80614.

Prime Factorization of 80608

Prime Factorization of 80614

Now multiplying the highest exponent prime factors to calculate the LCM of 80608 and 80614.

LCM(80608,80614) = 2⁵ × 11¹ × 229¹ × 17¹ × 2371¹
LCM(80608,80614) = 3249066656