What is the Least Common Multiple of 33368 and 33376?

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 33368 and 33376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33368 and 33376, than apply into the LCM equation.

GCF(33368,33376) = 8
LCM(33368,33376) = ( 33368 × 33376) / 8
LCM(33368,33376) = 1113690368 / 8
LCM(33368,33376) = 139211296

Least Common Multiple (LCM) of 33368 and 33376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33368 and 33376. First we will calculate the prime factors of 33368 and 33376.

Prime Factorization of 33368

Prime Factorization of 33376

Now multiplying the highest exponent prime factors to calculate the LCM of 33368 and 33376.

LCM(33368,33376) = 2⁵ × 43¹ × 97¹ × 7¹ × 149¹
LCM(33368,33376) = 139211296