What is the Least Common Multiple of 81488 and 81500?

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 81488 and 81500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81488 and 81500, than apply into the LCM equation.

GCF(81488,81500) = 4
LCM(81488,81500) = ( 81488 × 81500) / 4
LCM(81488,81500) = 6641272000 / 4
LCM(81488,81500) = 1660318000

Least Common Multiple (LCM) of 81488 and 81500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81488 and 81500. First we will calculate the prime factors of 81488 and 81500.

Prime Factorization of 81488

Prime Factorization of 81500

Now multiplying the highest exponent prime factors to calculate the LCM of 81488 and 81500.

LCM(81488,81500) = 2⁴ × 11¹ × 463¹ × 5³ × 163¹
LCM(81488,81500) = 1660318000