What is the Least Common Multiple of 58102 and 58120?

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 58120 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 58120, than apply into the LCM equation.

GCF(58102,58120) = 2
LCM(58102,58120) = ( 58102 × 58120) / 2
LCM(58102,58120) = 3376888240 / 2
LCM(58102,58120) = 1688444120

Least Common Multiple (LCM) of 58102 and 58120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58102 and 58120. First we will calculate the prime factors of 58102 and 58120.

Prime Factorization of 58102

Prime Factorization of 58120

Now multiplying the highest exponent prime factors to calculate the LCM of 58102 and 58120.

LCM(58102,58120) = 2³ × 11¹ × 19¹ × 139¹ × 5¹ × 1453¹
LCM(58102,58120) = 1688444120