What is the Least Common Multiple of 80800 and 80820?

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 80800 and 80820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80800 and 80820, than apply into the LCM equation.

GCF(80800,80820) = 20
LCM(80800,80820) = ( 80800 × 80820) / 20
LCM(80800,80820) = 6530256000 / 20
LCM(80800,80820) = 326512800

Least Common Multiple (LCM) of 80800 and 80820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80800 and 80820. First we will calculate the prime factors of 80800 and 80820.

Prime Factorization of 80800

Prime Factorization of 80820

Now multiplying the highest exponent prime factors to calculate the LCM of 80800 and 80820.

LCM(80800,80820) = 2⁵ × 5² × 101¹ × 3² × 449¹
LCM(80800,80820) = 326512800