What is the Least Common Multiple of 58130 and 58146?

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 58130 and 58146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58130 and 58146, than apply into the LCM equation.

GCF(58130,58146) = 2
LCM(58130,58146) = ( 58130 × 58146) / 2
LCM(58130,58146) = 3380026980 / 2
LCM(58130,58146) = 1690013490

Least Common Multiple (LCM) of 58130 and 58146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58130 and 58146. First we will calculate the prime factors of 58130 and 58146.

Prime Factorization of 58130

Prime Factorization of 58146

Now multiplying the highest exponent prime factors to calculate the LCM of 58130 and 58146.

LCM(58130,58146) = 2¹ × 5¹ × 5813¹ × 3¹ × 11¹ × 881¹
LCM(58130,58146) = 1690013490