What is the Least Common Multiple of 32835 and 32853?

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 32853 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 32853, than apply into the LCM equation.

GCF(32835,32853) = 3
LCM(32835,32853) = ( 32835 × 32853) / 3
LCM(32835,32853) = 1078728255 / 3
LCM(32835,32853) = 359576085

Least Common Multiple (LCM) of 32835 and 32853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32835 and 32853. First we will calculate the prime factors of 32835 and 32853.

Prime Factorization of 32835

Prime Factorization of 32853

Now multiplying the highest exponent prime factors to calculate the LCM of 32835 and 32853.

LCM(32835,32853) = 3¹ × 5¹ × 11¹ × 199¹ × 47¹ × 233¹
LCM(32835,32853) = 359576085