What is the Least Common Multiple of 3134 and 3139?

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 3134 and 3139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3134 and 3139, than apply into the LCM equation.

GCF(3134,3139) = 1
LCM(3134,3139) = ( 3134 × 3139) / 1
LCM(3134,3139) = 9837626 / 1
LCM(3134,3139) = 9837626

Least Common Multiple (LCM) of 3134 and 3139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3134 and 3139. First we will calculate the prime factors of 3134 and 3139.

Prime Factorization of 3134

Prime Factorization of 3139

Now multiplying the highest exponent prime factors to calculate the LCM of 3134 and 3139.

LCM(3134,3139) = 2¹ × 1567¹ × 43¹ × 73¹
LCM(3134,3139) = 9837626