What is the Least Common Multiple of 10586 and 10602?

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 10586 and 10602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10586 and 10602, than apply into the LCM equation.

GCF(10586,10602) = 2
LCM(10586,10602) = ( 10586 × 10602) / 2
LCM(10586,10602) = 112232772 / 2
LCM(10586,10602) = 56116386

Least Common Multiple (LCM) of 10586 and 10602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10586 and 10602. First we will calculate the prime factors of 10586 and 10602.

Prime Factorization of 10586

Prime Factorization of 10602

Now multiplying the highest exponent prime factors to calculate the LCM of 10586 and 10602.

LCM(10586,10602) = 2¹ × 67¹ × 79¹ × 3² × 19¹ × 31¹
LCM(10586,10602) = 56116386