What is the Least Common Multiple of 58102 and 58114?

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 58102 and 58114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58102 and 58114, than apply into the LCM equation.

GCF(58102,58114) = 2
LCM(58102,58114) = ( 58102 × 58114) / 2
LCM(58102,58114) = 3376539628 / 2
LCM(58102,58114) = 1688269814

Least Common Multiple (LCM) of 58102 and 58114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58102 and 58114. First we will calculate the prime factors of 58102 and 58114.

Prime Factorization of 58102

Prime Factorization of 58114

Now multiplying the highest exponent prime factors to calculate the LCM of 58102 and 58114.

LCM(58102,58114) = 2¹ × 11¹ × 19¹ × 139¹ × 7² × 593¹
LCM(58102,58114) = 1688269814