What is the Least Common Multiple of 58024 and 58034?

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 58024 and 58034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58024 and 58034, than apply into the LCM equation.

GCF(58024,58034) = 2
LCM(58024,58034) = ( 58024 × 58034) / 2
LCM(58024,58034) = 3367364816 / 2
LCM(58024,58034) = 1683682408

Least Common Multiple (LCM) of 58024 and 58034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58024 and 58034. First we will calculate the prime factors of 58024 and 58034.

Prime Factorization of 58024

Prime Factorization of 58034

Now multiplying the highest exponent prime factors to calculate the LCM of 58024 and 58034.

LCM(58024,58034) = 2³ × 7253¹ × 29017¹
LCM(58024,58034) = 1683682408