What is the Least Common Multiple of 3114 and 3119?

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 3119 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 3119, than apply into the LCM equation.

GCF(3114,3119) = 1
LCM(3114,3119) = ( 3114 × 3119) / 1
LCM(3114,3119) = 9712566 / 1
LCM(3114,3119) = 9712566

Least Common Multiple (LCM) of 3114 and 3119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3114 and 3119. First we will calculate the prime factors of 3114 and 3119.

Prime Factorization of 3114

Prime Factorization of 3119

Now multiplying the highest exponent prime factors to calculate the LCM of 3114 and 3119.

LCM(3114,3119) = 2¹ × 3² × 173¹ × 3119¹
LCM(3114,3119) = 9712566