What is the Least Common Multiple of 21573 and 21580?

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 21573 and 21580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21573 and 21580, than apply into the LCM equation.

GCF(21573,21580) = 1
LCM(21573,21580) = ( 21573 × 21580) / 1
LCM(21573,21580) = 465545340 / 1
LCM(21573,21580) = 465545340

Least Common Multiple (LCM) of 21573 and 21580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21573 and 21580. First we will calculate the prime factors of 21573 and 21580.

Prime Factorization of 21573

Prime Factorization of 21580

Now multiplying the highest exponent prime factors to calculate the LCM of 21573 and 21580.

LCM(21573,21580) = 3³ × 17¹ × 47¹ × 2² × 5¹ × 13¹ × 83¹
LCM(21573,21580) = 465545340