What is the Least Common Multiple of 81000 and 81014?

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 81014 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 81014, than apply into the LCM equation.

GCF(81000,81014) = 2
LCM(81000,81014) = ( 81000 × 81014) / 2
LCM(81000,81014) = 6562134000 / 2
LCM(81000,81014) = 3281067000

Least Common Multiple (LCM) of 81000 and 81014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81000 and 81014. First we will calculate the prime factors of 81000 and 81014.

Prime Factorization of 81000

Prime Factorization of 81014

Now multiplying the highest exponent prime factors to calculate the LCM of 81000 and 81014.

LCM(81000,81014) = 2³ × 3⁴ × 5³ × 40507¹
LCM(81000,81014) = 3281067000