What is the Least Common Multiple of 10586 and 10603?

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 10603 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 10603, than apply into the LCM equation.

GCF(10586,10603) = 1
LCM(10586,10603) = ( 10586 × 10603) / 1
LCM(10586,10603) = 112243358 / 1
LCM(10586,10603) = 112243358

Least Common Multiple (LCM) of 10586 and 10603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10586 and 10603. First we will calculate the prime factors of 10586 and 10603.

Prime Factorization of 10586

Prime Factorization of 10603

Now multiplying the highest exponent prime factors to calculate the LCM of 10586 and 10603.

LCM(10586,10603) = 2¹ × 67¹ × 79¹ × 23¹ × 461¹
LCM(10586,10603) = 112243358