What is the Least Common Multiple of 3119 and 3130?

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 3119 and 3130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3119 and 3130, than apply into the LCM equation.

GCF(3119,3130) = 1
LCM(3119,3130) = ( 3119 × 3130) / 1
LCM(3119,3130) = 9762470 / 1
LCM(3119,3130) = 9762470

Least Common Multiple (LCM) of 3119 and 3130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3119 and 3130. First we will calculate the prime factors of 3119 and 3130.

Prime Factorization of 3119

Prime Factorization of 3130

Now multiplying the highest exponent prime factors to calculate the LCM of 3119 and 3130.

LCM(3119,3130) = 3119¹ × 2¹ × 5¹ × 313¹
LCM(3119,3130) = 9762470