What is the Least Common Multiple of 33936 and 33947?

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 33936 and 33947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33936 and 33947, than apply into the LCM equation.

GCF(33936,33947) = 1
LCM(33936,33947) = ( 33936 × 33947) / 1
LCM(33936,33947) = 1152025392 / 1
LCM(33936,33947) = 1152025392

Least Common Multiple (LCM) of 33936 and 33947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33936 and 33947. First we will calculate the prime factors of 33936 and 33947.

Prime Factorization of 33936

Prime Factorization of 33947

Now multiplying the highest exponent prime factors to calculate the LCM of 33936 and 33947.

LCM(33936,33947) = 2⁴ × 3¹ × 7¹ × 101¹ × 83¹ × 409¹
LCM(33936,33947) = 1152025392