What is the Least Common Multiple of 58374 and 58391?

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 58374 and 58391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58374 and 58391, than apply into the LCM equation.

GCF(58374,58391) = 1
LCM(58374,58391) = ( 58374 × 58391) / 1
LCM(58374,58391) = 3408516234 / 1
LCM(58374,58391) = 3408516234

Least Common Multiple (LCM) of 58374 and 58391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58374 and 58391. First we will calculate the prime factors of 58374 and 58391.

Prime Factorization of 58374

Prime Factorization of 58391

Now multiplying the highest exponent prime factors to calculate the LCM of 58374 and 58391.

LCM(58374,58391) = 2¹ × 3³ × 23¹ × 47¹ × 58391¹
LCM(58374,58391) = 3408516234