What is the Least Common Multiple of 3904 and 3921?

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 3921 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 3921, than apply into the LCM equation.

GCF(3904,3921) = 1
LCM(3904,3921) = ( 3904 × 3921) / 1
LCM(3904,3921) = 15307584 / 1
LCM(3904,3921) = 15307584

Least Common Multiple (LCM) of 3904 and 3921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3904 and 3921. First we will calculate the prime factors of 3904 and 3921.

Prime Factorization of 3904

Prime Factorization of 3921

Now multiplying the highest exponent prime factors to calculate the LCM of 3904 and 3921.

LCM(3904,3921) = 2⁶ × 61¹ × 3¹ × 1307¹
LCM(3904,3921) = 15307584