What is the Least Common Multiple of 3055 and 3071?

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 3055 and 3071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3055 and 3071, than apply into the LCM equation.

GCF(3055,3071) = 1
LCM(3055,3071) = ( 3055 × 3071) / 1
LCM(3055,3071) = 9381905 / 1
LCM(3055,3071) = 9381905

Least Common Multiple (LCM) of 3055 and 3071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3055 and 3071. First we will calculate the prime factors of 3055 and 3071.

Prime Factorization of 3055

Prime Factorization of 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 3055 and 3071.

LCM(3055,3071) = 5¹ × 13¹ × 47¹ × 37¹ × 83¹
LCM(3055,3071) = 9381905