What is the Least Common Multiple of 31104 and 31112?

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 31112 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 31112, than apply into the LCM equation.

GCF(31104,31112) = 8
LCM(31104,31112) = ( 31104 × 31112) / 8
LCM(31104,31112) = 967707648 / 8
LCM(31104,31112) = 120963456

Least Common Multiple (LCM) of 31104 and 31112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31104 and 31112. First we will calculate the prime factors of 31104 and 31112.

Prime Factorization of 31104

Prime Factorization of 31112

Now multiplying the highest exponent prime factors to calculate the LCM of 31104 and 31112.

LCM(31104,31112) = 2⁷ × 3⁵ × 3889¹
LCM(31104,31112) = 120963456