What is the Least Common Multiple of 21519 and 21533?

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 21519 and 21533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21519 and 21533, than apply into the LCM equation.

GCF(21519,21533) = 1
LCM(21519,21533) = ( 21519 × 21533) / 1
LCM(21519,21533) = 463368627 / 1
LCM(21519,21533) = 463368627

Least Common Multiple (LCM) of 21519 and 21533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21519 and 21533. First we will calculate the prime factors of 21519 and 21533.

Prime Factorization of 21519

Prime Factorization of 21533

Now multiplying the highest exponent prime factors to calculate the LCM of 21519 and 21533.

LCM(21519,21533) = 3³ × 797¹ × 61¹ × 353¹
LCM(21519,21533) = 463368627