What is the Least Common Multiple of 3920 and 3933?

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 3920 and 3933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3920 and 3933, than apply into the LCM equation.

GCF(3920,3933) = 1
LCM(3920,3933) = ( 3920 × 3933) / 1
LCM(3920,3933) = 15417360 / 1
LCM(3920,3933) = 15417360

Least Common Multiple (LCM) of 3920 and 3933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3920 and 3933. First we will calculate the prime factors of 3920 and 3933.

Prime Factorization of 3920

Prime Factorization of 3933

Now multiplying the highest exponent prime factors to calculate the LCM of 3920 and 3933.

LCM(3920,3933) = 2⁴ × 5¹ × 7² × 3² × 19¹ × 23¹
LCM(3920,3933) = 15417360