What is the Least Common Multiple of 58437 and 58455?

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 58437 and 58455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58437 and 58455, than apply into the LCM equation.

GCF(58437,58455) = 9
LCM(58437,58455) = ( 58437 × 58455) / 9
LCM(58437,58455) = 3415934835 / 9
LCM(58437,58455) = 379548315

Least Common Multiple (LCM) of 58437 and 58455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58437 and 58455. First we will calculate the prime factors of 58437 and 58455.

Prime Factorization of 58437

Prime Factorization of 58455

Now multiplying the highest exponent prime factors to calculate the LCM of 58437 and 58455.

LCM(58437,58455) = 3³ × 43¹ × 151¹ × 5¹ × 433¹
LCM(58437,58455) = 379548315