What is the Least Common Multiple of 80048 and 80066?

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 80048 and 80066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80048 and 80066, than apply into the LCM equation.

GCF(80048,80066) = 2
LCM(80048,80066) = ( 80048 × 80066) / 2
LCM(80048,80066) = 6409123168 / 2
LCM(80048,80066) = 3204561584

Least Common Multiple (LCM) of 80048 and 80066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80048 and 80066. First we will calculate the prime factors of 80048 and 80066.

Prime Factorization of 80048

Prime Factorization of 80066

Now multiplying the highest exponent prime factors to calculate the LCM of 80048 and 80066.

LCM(80048,80066) = 2⁴ × 5003¹ × 7² × 19¹ × 43¹
LCM(80048,80066) = 3204561584