What is the Least Common Multiple of 81524 and 81540?

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 81524 and 81540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81524 and 81540, than apply into the LCM equation.

GCF(81524,81540) = 4
LCM(81524,81540) = ( 81524 × 81540) / 4
LCM(81524,81540) = 6647466960 / 4
LCM(81524,81540) = 1661866740

Least Common Multiple (LCM) of 81524 and 81540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81524 and 81540. First we will calculate the prime factors of 81524 and 81540.

Prime Factorization of 81524

Prime Factorization of 81540

Now multiplying the highest exponent prime factors to calculate the LCM of 81524 and 81540.

LCM(81524,81540) = 2² × 89¹ × 229¹ × 3³ × 5¹ × 151¹
LCM(81524,81540) = 1661866740