What is the Least Common Multiple of 3112 and 3117?

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 3112 and 3117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3112 and 3117, than apply into the LCM equation.

GCF(3112,3117) = 1
LCM(3112,3117) = ( 3112 × 3117) / 1
LCM(3112,3117) = 9700104 / 1
LCM(3112,3117) = 9700104

Least Common Multiple (LCM) of 3112 and 3117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3112 and 3117. First we will calculate the prime factors of 3112 and 3117.

Prime Factorization of 3112

Prime Factorization of 3117

Now multiplying the highest exponent prime factors to calculate the LCM of 3112 and 3117.

LCM(3112,3117) = 2³ × 389¹ × 3¹ × 1039¹
LCM(3112,3117) = 9700104