What is the Least Common Multiple of 80000 and 80010?

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 80000 and 80010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80000 and 80010, than apply into the LCM equation.

GCF(80000,80010) = 10
LCM(80000,80010) = ( 80000 × 80010) / 10
LCM(80000,80010) = 6400800000 / 10
LCM(80000,80010) = 640080000

Least Common Multiple (LCM) of 80000 and 80010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80000 and 80010. First we will calculate the prime factors of 80000 and 80010.

Prime Factorization of 80000

Prime Factorization of 80010

Now multiplying the highest exponent prime factors to calculate the LCM of 80000 and 80010.

LCM(80000,80010) = 2⁷ × 5⁴ × 3² × 7¹ × 127¹
LCM(80000,80010) = 640080000