What is the Least Common Multiple of 81549 and 81564?

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 81549 and 81564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81549 and 81564, than apply into the LCM equation.

GCF(81549,81564) = 3
LCM(81549,81564) = ( 81549 × 81564) / 3
LCM(81549,81564) = 6651462636 / 3
LCM(81549,81564) = 2217154212

Least Common Multiple (LCM) of 81549 and 81564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81549 and 81564. First we will calculate the prime factors of 81549 and 81564.

Prime Factorization of 81549

Prime Factorization of 81564

Now multiplying the highest exponent prime factors to calculate the LCM of 81549 and 81564.

LCM(81549,81564) = 3² × 13¹ × 17¹ × 41¹ × 2² × 7¹ × 971¹
LCM(81549,81564) = 2217154212