What is the Least Common Multiple of 58254 and 58258?

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 58254 and 58258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58254 and 58258, than apply into the LCM equation.

GCF(58254,58258) = 2
LCM(58254,58258) = ( 58254 × 58258) / 2
LCM(58254,58258) = 3393761532 / 2
LCM(58254,58258) = 1696880766

Least Common Multiple (LCM) of 58254 and 58258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58254 and 58258. First we will calculate the prime factors of 58254 and 58258.

Prime Factorization of 58254

Prime Factorization of 58258

Now multiplying the highest exponent prime factors to calculate the LCM of 58254 and 58258.

LCM(58254,58258) = 2¹ × 3¹ × 7¹ × 19¹ × 73¹ × 29129¹
LCM(58254,58258) = 1696880766