What is the Least Common Multiple of 3140 and 3155?

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 3140 and 3155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3140 and 3155, than apply into the LCM equation.

GCF(3140,3155) = 5
LCM(3140,3155) = ( 3140 × 3155) / 5
LCM(3140,3155) = 9906700 / 5
LCM(3140,3155) = 1981340

Least Common Multiple (LCM) of 3140 and 3155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3140 and 3155. First we will calculate the prime factors of 3140 and 3155.

Prime Factorization of 3140

Prime Factorization of 3155

Now multiplying the highest exponent prime factors to calculate the LCM of 3140 and 3155.

LCM(3140,3155) = 2² × 5¹ × 157¹ × 631¹
LCM(3140,3155) = 1981340