What is the Least Common Multiple of 21801 and 21813?

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 21801 and 21813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21801 and 21813, than apply into the LCM equation.

GCF(21801,21813) = 3
LCM(21801,21813) = ( 21801 × 21813) / 3
LCM(21801,21813) = 475545213 / 3
LCM(21801,21813) = 158515071

Least Common Multiple (LCM) of 21801 and 21813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21801 and 21813. First we will calculate the prime factors of 21801 and 21813.

Prime Factorization of 21801

Prime Factorization of 21813

Now multiplying the highest exponent prime factors to calculate the LCM of 21801 and 21813.

LCM(21801,21813) = 3¹ × 13² × 43¹ × 11¹ × 661¹
LCM(21801,21813) = 158515071