What is the Least Common Multiple of 3904 and 3922?

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 3904 and 3922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3904 and 3922, than apply into the LCM equation.

GCF(3904,3922) = 2
LCM(3904,3922) = ( 3904 × 3922) / 2
LCM(3904,3922) = 15311488 / 2
LCM(3904,3922) = 7655744

Least Common Multiple (LCM) of 3904 and 3922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3904 and 3922. First we will calculate the prime factors of 3904 and 3922.

Prime Factorization of 3904

Prime Factorization of 3922

Now multiplying the highest exponent prime factors to calculate the LCM of 3904 and 3922.

LCM(3904,3922) = 2⁶ × 61¹ × 37¹ × 53¹
LCM(3904,3922) = 7655744