What is the Least Common Multiple of 58368 and 58386?

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 58386 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 58386, than apply into the LCM equation.

GCF(58368,58386) = 6
LCM(58368,58386) = ( 58368 × 58386) / 6
LCM(58368,58386) = 3407874048 / 6
LCM(58368,58386) = 567979008

Least Common Multiple (LCM) of 58368 and 58386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58368 and 58386. First we will calculate the prime factors of 58368 and 58386.

Prime Factorization of 58368

Prime Factorization of 58386

Now multiplying the highest exponent prime factors to calculate the LCM of 58368 and 58386.

LCM(58368,58386) = 2¹⁰ × 3¹ × 19¹ × 37¹ × 263¹
LCM(58368,58386) = 567979008