What is the Least Common Multiple of 48586 and 48602?

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 48586 and 48602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48586 and 48602, than apply into the LCM equation.

GCF(48586,48602) = 2
LCM(48586,48602) = ( 48586 × 48602) / 2
LCM(48586,48602) = 2361376772 / 2
LCM(48586,48602) = 1180688386

Least Common Multiple (LCM) of 48586 and 48602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48586 and 48602. First we will calculate the prime factors of 48586 and 48602.

Prime Factorization of 48586

Prime Factorization of 48602

Now multiplying the highest exponent prime factors to calculate the LCM of 48586 and 48602.

LCM(48586,48602) = 2¹ × 17¹ × 1429¹ × 19¹ × 1279¹
LCM(48586,48602) = 1180688386