What is the Least Common Multiple of 32835 and 32847?

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 32835 and 32847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32835 and 32847, than apply into the LCM equation.

GCF(32835,32847) = 3
LCM(32835,32847) = ( 32835 × 32847) / 3
LCM(32835,32847) = 1078531245 / 3
LCM(32835,32847) = 359510415

Least Common Multiple (LCM) of 32835 and 32847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32835 and 32847. First we will calculate the prime factors of 32835 and 32847.

Prime Factorization of 32835

Prime Factorization of 32847

Now multiplying the highest exponent prime factors to calculate the LCM of 32835 and 32847.

LCM(32835,32847) = 3¹ × 5¹ × 11¹ × 199¹ × 10949¹
LCM(32835,32847) = 359510415