What is the Least Common Multiple of 58254 and 58271?

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 58271 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 58271, than apply into the LCM equation.

GCF(58254,58271) = 1
LCM(58254,58271) = ( 58254 × 58271) / 1
LCM(58254,58271) = 3394518834 / 1
LCM(58254,58271) = 3394518834

Least Common Multiple (LCM) of 58254 and 58271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58254 and 58271. First we will calculate the prime factors of 58254 and 58271.

Prime Factorization of 58254

Prime Factorization of 58271

Now multiplying the highest exponent prime factors to calculate the LCM of 58254 and 58271.

LCM(58254,58271) = 2¹ × 3¹ × 7¹ × 19¹ × 73¹ × 58271¹
LCM(58254,58271) = 3394518834