What is the Least Common Multiple of 81000 and 81010?

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 81000 and 81010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81000 and 81010, than apply into the LCM equation.

GCF(81000,81010) = 10
LCM(81000,81010) = ( 81000 × 81010) / 10
LCM(81000,81010) = 6561810000 / 10
LCM(81000,81010) = 656181000

Least Common Multiple (LCM) of 81000 and 81010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81000 and 81010. First we will calculate the prime factors of 81000 and 81010.

Prime Factorization of 81000

Prime Factorization of 81010

Now multiplying the highest exponent prime factors to calculate the LCM of 81000 and 81010.

LCM(81000,81010) = 2³ × 3⁴ × 5³ × 8101¹
LCM(81000,81010) = 656181000