What is the Least Common Multiple of 33885 and 33897?

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 33885 and 33897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33885 and 33897, than apply into the LCM equation.

GCF(33885,33897) = 3
LCM(33885,33897) = ( 33885 × 33897) / 3
LCM(33885,33897) = 1148599845 / 3
LCM(33885,33897) = 382866615

Least Common Multiple (LCM) of 33885 and 33897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33885 and 33897. First we will calculate the prime factors of 33885 and 33897.

Prime Factorization of 33885

Prime Factorization of 33897

Now multiplying the highest exponent prime factors to calculate the LCM of 33885 and 33897.

LCM(33885,33897) = 3³ × 5¹ × 251¹ × 11299¹
LCM(33885,33897) = 382866615