What is the Least Common Multiple of 33920 and 33936?

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 33920 and 33936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33920 and 33936, than apply into the LCM equation.

GCF(33920,33936) = 16
LCM(33920,33936) = ( 33920 × 33936) / 16
LCM(33920,33936) = 1151109120 / 16
LCM(33920,33936) = 71944320

Least Common Multiple (LCM) of 33920 and 33936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33920 and 33936. First we will calculate the prime factors of 33920 and 33936.

Prime Factorization of 33920

Prime Factorization of 33936

Now multiplying the highest exponent prime factors to calculate the LCM of 33920 and 33936.

LCM(33920,33936) = 2⁷ × 5¹ × 53¹ × 3¹ × 7¹ × 101¹
LCM(33920,33936) = 71944320