What is the Least Common Multiple of 33789 and 33808?

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 33789 and 33808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33789 and 33808, than apply into the LCM equation.

GCF(33789,33808) = 1
LCM(33789,33808) = ( 33789 × 33808) / 1
LCM(33789,33808) = 1142338512 / 1
LCM(33789,33808) = 1142338512

Least Common Multiple (LCM) of 33789 and 33808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33789 and 33808. First we will calculate the prime factors of 33789 and 33808.

Prime Factorization of 33789

Prime Factorization of 33808

Now multiplying the highest exponent prime factors to calculate the LCM of 33789 and 33808.

LCM(33789,33808) = 3¹ × 7¹ × 1609¹ × 2⁴ × 2113¹
LCM(33789,33808) = 1142338512