What is the Least Common Multiple of 58368 and 58379?

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 58368 and 58379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58368 and 58379, than apply into the LCM equation.

GCF(58368,58379) = 1
LCM(58368,58379) = ( 58368 × 58379) / 1
LCM(58368,58379) = 3407465472 / 1
LCM(58368,58379) = 3407465472

Least Common Multiple (LCM) of 58368 and 58379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58368 and 58379. First we will calculate the prime factors of 58368 and 58379.

Prime Factorization of 58368

Prime Factorization of 58379

Now multiplying the highest exponent prime factors to calculate the LCM of 58368 and 58379.

LCM(58368,58379) = 2¹⁰ × 3¹ × 19¹ × 58379¹
LCM(58368,58379) = 3407465472