What is the Least Common Multiple of 80802 and 80818?

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 80802 and 80818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80802 and 80818, than apply into the LCM equation.

GCF(80802,80818) = 2
LCM(80802,80818) = ( 80802 × 80818) / 2
LCM(80802,80818) = 6530256036 / 2
LCM(80802,80818) = 3265128018

Least Common Multiple (LCM) of 80802 and 80818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80802 and 80818. First we will calculate the prime factors of 80802 and 80818.

Prime Factorization of 80802

Prime Factorization of 80818

Now multiplying the highest exponent prime factors to calculate the LCM of 80802 and 80818.

LCM(80802,80818) = 2¹ × 3² × 67² × 17¹ × 2377¹
LCM(80802,80818) = 3265128018