What is the Least Common Multiple of 31104 and 31121?

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 31104 and 31121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31104 and 31121, than apply into the LCM equation.

GCF(31104,31121) = 1
LCM(31104,31121) = ( 31104 × 31121) / 1
LCM(31104,31121) = 967987584 / 1
LCM(31104,31121) = 967987584

Least Common Multiple (LCM) of 31104 and 31121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31104 and 31121. First we will calculate the prime factors of 31104 and 31121.

Prime Factorization of 31104

Prime Factorization of 31121

Now multiplying the highest exponent prime factors to calculate the LCM of 31104 and 31121.

LCM(31104,31121) = 2⁷ × 3⁵ × 31121¹
LCM(31104,31121) = 967987584