What is the Least Common Multiple of 58473 and 58479?

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 58473 and 58479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58473 and 58479, than apply into the LCM equation.

GCF(58473,58479) = 3
LCM(58473,58479) = ( 58473 × 58479) / 3
LCM(58473,58479) = 3419442567 / 3
LCM(58473,58479) = 1139814189

Least Common Multiple (LCM) of 58473 and 58479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58473 and 58479. First we will calculate the prime factors of 58473 and 58479.

Prime Factorization of 58473

Prime Factorization of 58479

Now multiplying the highest exponent prime factors to calculate the LCM of 58473 and 58479.

LCM(58473,58479) = 3² × 73¹ × 89¹ × 101¹ × 193¹
LCM(58473,58479) = 1139814189