What is the Least Common Multiple of 81500 and 81512?

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 81500 and 81512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81500 and 81512, than apply into the LCM equation.

GCF(81500,81512) = 4
LCM(81500,81512) = ( 81500 × 81512) / 4
LCM(81500,81512) = 6643228000 / 4
LCM(81500,81512) = 1660807000

Least Common Multiple (LCM) of 81500 and 81512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81500 and 81512. First we will calculate the prime factors of 81500 and 81512.

Prime Factorization of 81500

Prime Factorization of 81512

Now multiplying the highest exponent prime factors to calculate the LCM of 81500 and 81512.

LCM(81500,81512) = 2³ × 5³ × 163¹ × 23¹ × 443¹
LCM(81500,81512) = 1660807000