What is the Least Common Multiple of 80845 and 80864?

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 80845 and 80864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80845 and 80864, than apply into the LCM equation.

GCF(80845,80864) = 19
LCM(80845,80864) = ( 80845 × 80864) / 19
LCM(80845,80864) = 6537450080 / 19
LCM(80845,80864) = 344076320

Least Common Multiple (LCM) of 80845 and 80864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80845 and 80864. First we will calculate the prime factors of 80845 and 80864.

Prime Factorization of 80845

Prime Factorization of 80864

Now multiplying the highest exponent prime factors to calculate the LCM of 80845 and 80864.

LCM(80845,80864) = 5¹ × 19² × 23¹ × 37¹ × 2⁵ × 7¹
LCM(80845,80864) = 344076320