What is the Least Common Multiple of 24586 and 24603?

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 24586 and 24603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24586 and 24603, than apply into the LCM equation.

GCF(24586,24603) = 1
LCM(24586,24603) = ( 24586 × 24603) / 1
LCM(24586,24603) = 604889358 / 1
LCM(24586,24603) = 604889358

Least Common Multiple (LCM) of 24586 and 24603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24586 and 24603. First we will calculate the prime factors of 24586 and 24603.

Prime Factorization of 24586

Prime Factorization of 24603

Now multiplying the highest exponent prime factors to calculate the LCM of 24586 and 24603.

LCM(24586,24603) = 2¹ × 19¹ × 647¹ × 3¹ × 59¹ × 139¹
LCM(24586,24603) = 604889358