What is the Least Common Multiple of 80486 and 80501?

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 80486 and 80501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80486 and 80501, than apply into the LCM equation.

GCF(80486,80501) = 1
LCM(80486,80501) = ( 80486 × 80501) / 1
LCM(80486,80501) = 6479203486 / 1
LCM(80486,80501) = 6479203486

Least Common Multiple (LCM) of 80486 and 80501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80486 and 80501. First we will calculate the prime factors of 80486 and 80501.

Prime Factorization of 80486

Prime Factorization of 80501

Now multiplying the highest exponent prime factors to calculate the LCM of 80486 and 80501.

LCM(80486,80501) = 2¹ × 7¹ × 5749¹ × 79¹ × 1019¹
LCM(80486,80501) = 6479203486