What is the Least Common Multiple of 3058 and 3068?

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 3058 and 3068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3058 and 3068, than apply into the LCM equation.

GCF(3058,3068) = 2
LCM(3058,3068) = ( 3058 × 3068) / 2
LCM(3058,3068) = 9381944 / 2
LCM(3058,3068) = 4690972

Least Common Multiple (LCM) of 3058 and 3068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3058 and 3068. First we will calculate the prime factors of 3058 and 3068.

Prime Factorization of 3058

Prime Factorization of 3068

Now multiplying the highest exponent prime factors to calculate the LCM of 3058 and 3068.

LCM(3058,3068) = 2² × 11¹ × 139¹ × 13¹ × 59¹
LCM(3058,3068) = 4690972