What is the Least Common Multiple of 8920 and 8933?

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 8920 and 8933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8920 and 8933, than apply into the LCM equation.

GCF(8920,8933) = 1
LCM(8920,8933) = ( 8920 × 8933) / 1
LCM(8920,8933) = 79682360 / 1
LCM(8920,8933) = 79682360

Least Common Multiple (LCM) of 8920 and 8933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8920 and 8933. First we will calculate the prime factors of 8920 and 8933.

Prime Factorization of 8920

Prime Factorization of 8933

Now multiplying the highest exponent prime factors to calculate the LCM of 8920 and 8933.

LCM(8920,8933) = 2³ × 5¹ × 223¹ × 8933¹
LCM(8920,8933) = 79682360