What is the Least Common Multiple of 58082 and 58102?

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 58082 and 58102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58082 and 58102, than apply into the LCM equation.

GCF(58082,58102) = 2
LCM(58082,58102) = ( 58082 × 58102) / 2
LCM(58082,58102) = 3374680364 / 2
LCM(58082,58102) = 1687340182

Least Common Multiple (LCM) of 58082 and 58102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58082 and 58102. First we will calculate the prime factors of 58082 and 58102.

Prime Factorization of 58082

Prime Factorization of 58102

Now multiplying the highest exponent prime factors to calculate the LCM of 58082 and 58102.

LCM(58082,58102) = 2¹ × 113¹ × 257¹ × 11¹ × 19¹ × 139¹
LCM(58082,58102) = 1687340182