What is the Least Common Multiple of 58424 and 58441?

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 58424 and 58441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58424 and 58441, than apply into the LCM equation.

GCF(58424,58441) = 1
LCM(58424,58441) = ( 58424 × 58441) / 1
LCM(58424,58441) = 3414356984 / 1
LCM(58424,58441) = 3414356984

Least Common Multiple (LCM) of 58424 and 58441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58424 and 58441. First we will calculate the prime factors of 58424 and 58441.

Prime Factorization of 58424

Prime Factorization of 58441

Now multiplying the highest exponent prime factors to calculate the LCM of 58424 and 58441.

LCM(58424,58441) = 2³ × 67¹ × 109¹ × 58441¹
LCM(58424,58441) = 3414356984