What is the Least Common Multiple of 21508 and 21519?

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 21508 and 21519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21508 and 21519, than apply into the LCM equation.

GCF(21508,21519) = 1
LCM(21508,21519) = ( 21508 × 21519) / 1
LCM(21508,21519) = 462830652 / 1
LCM(21508,21519) = 462830652

Least Common Multiple (LCM) of 21508 and 21519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21508 and 21519. First we will calculate the prime factors of 21508 and 21519.

Prime Factorization of 21508

Prime Factorization of 21519

Now multiplying the highest exponent prime factors to calculate the LCM of 21508 and 21519.

LCM(21508,21519) = 2² × 19¹ × 283¹ × 3³ × 797¹
LCM(21508,21519) = 462830652