What is the Least Common Multiple of 80838 and 80847?

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 80838 and 80847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80838 and 80847, than apply into the LCM equation.

GCF(80838,80847) = 9
LCM(80838,80847) = ( 80838 × 80847) / 9
LCM(80838,80847) = 6535509786 / 9
LCM(80838,80847) = 726167754

Least Common Multiple (LCM) of 80838 and 80847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80838 and 80847. First we will calculate the prime factors of 80838 and 80847.

Prime Factorization of 80838

Prime Factorization of 80847

Now multiplying the highest exponent prime factors to calculate the LCM of 80838 and 80847.

LCM(80838,80847) = 2¹ × 3⁴ × 499¹ × 13¹ × 691¹
LCM(80838,80847) = 726167754