What is the Least Common Multiple of 22596 and 22603?

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 22596 and 22603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22596 and 22603, than apply into the LCM equation.

GCF(22596,22603) = 7
LCM(22596,22603) = ( 22596 × 22603) / 7
LCM(22596,22603) = 510737388 / 7
LCM(22596,22603) = 72962484

Least Common Multiple (LCM) of 22596 and 22603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22596 and 22603. First we will calculate the prime factors of 22596 and 22603.

Prime Factorization of 22596

Prime Factorization of 22603

Now multiplying the highest exponent prime factors to calculate the LCM of 22596 and 22603.

LCM(22596,22603) = 2² × 3¹ × 7¹ × 269¹ × 3229¹
LCM(22596,22603) = 72962484