What is the Least Common Multiple of 58449 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 58449 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 58449 and 58455, than apply into the LCM equation.

GCF(58449,58455) = 3
LCM(58449,58455) = ( 58449 × 58455) / 3
LCM(58449,58455) = 3416636295 / 3
LCM(58449,58455) = 1138878765

Least Common Multiple (LCM) of 58449 and 58455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58449 and 58455. First we will calculate the prime factors of 58449 and 58455.

Prime Factorization of 58449

Prime Factorization of 58455

Now multiplying the highest exponent prime factors to calculate the LCM of 58449 and 58455.

LCM(58449,58455) = 3³ × 19483¹ × 5¹ × 433¹
LCM(58449,58455) = 1138878765