What is the Least Common Multiple of 33944 and 33964?

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 33944 and 33964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33944 and 33964, than apply into the LCM equation.

GCF(33944,33964) = 4
LCM(33944,33964) = ( 33944 × 33964) / 4
LCM(33944,33964) = 1152874016 / 4
LCM(33944,33964) = 288218504

Least Common Multiple (LCM) of 33944 and 33964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33944 and 33964. First we will calculate the prime factors of 33944 and 33964.

Prime Factorization of 33944

Prime Factorization of 33964

Now multiplying the highest exponent prime factors to calculate the LCM of 33944 and 33964.

LCM(33944,33964) = 2³ × 4243¹ × 7¹ × 1213¹
LCM(33944,33964) = 288218504