What is the Least Common Multiple of 33687 and 33699?

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 33687 and 33699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33687 and 33699, than apply into the LCM equation.

GCF(33687,33699) = 3
LCM(33687,33699) = ( 33687 × 33699) / 3
LCM(33687,33699) = 1135218213 / 3
LCM(33687,33699) = 378406071

Least Common Multiple (LCM) of 33687 and 33699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33687 and 33699. First we will calculate the prime factors of 33687 and 33699.

Prime Factorization of 33687

Prime Factorization of 33699

Now multiplying the highest exponent prime factors to calculate the LCM of 33687 and 33699.

LCM(33687,33699) = 3² × 19¹ × 197¹ × 47¹ × 239¹
LCM(33687,33699) = 378406071