What is the Least Common Multiple of 21789 and 21801?

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 21789 and 21801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21789 and 21801, than apply into the LCM equation.

GCF(21789,21801) = 3
LCM(21789,21801) = ( 21789 × 21801) / 3
LCM(21789,21801) = 475021989 / 3
LCM(21789,21801) = 158340663

Least Common Multiple (LCM) of 21789 and 21801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21789 and 21801. First we will calculate the prime factors of 21789 and 21801.

Prime Factorization of 21789

Prime Factorization of 21801

Now multiplying the highest exponent prime factors to calculate the LCM of 21789 and 21801.

LCM(21789,21801) = 3⁴ × 269¹ × 13² × 43¹
LCM(21789,21801) = 158340663