What is the Least Common Multiple of 3114 and 3128?

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 3114 and 3128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3114 and 3128, than apply into the LCM equation.

GCF(3114,3128) = 2
LCM(3114,3128) = ( 3114 × 3128) / 2
LCM(3114,3128) = 9740592 / 2
LCM(3114,3128) = 4870296

Least Common Multiple (LCM) of 3114 and 3128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3114 and 3128. First we will calculate the prime factors of 3114 and 3128.

Prime Factorization of 3114

Prime Factorization of 3128

Now multiplying the highest exponent prime factors to calculate the LCM of 3114 and 3128.

LCM(3114,3128) = 2³ × 3² × 173¹ × 17¹ × 23¹
LCM(3114,3128) = 4870296