What is the Least Common Multiple of 33376 and 33385?

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 33376 and 33385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33376 and 33385, than apply into the LCM equation.

GCF(33376,33385) = 1
LCM(33376,33385) = ( 33376 × 33385) / 1
LCM(33376,33385) = 1114257760 / 1
LCM(33376,33385) = 1114257760

Least Common Multiple (LCM) of 33376 and 33385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33376 and 33385. First we will calculate the prime factors of 33376 and 33385.

Prime Factorization of 33376

Prime Factorization of 33385

Now multiplying the highest exponent prime factors to calculate the LCM of 33376 and 33385.

LCM(33376,33385) = 2⁵ × 7¹ × 149¹ × 5¹ × 11¹ × 607¹
LCM(33376,33385) = 1114257760