What is the Least Common Multiple of 21777 and 21789?

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 21777 and 21789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21777 and 21789, than apply into the LCM equation.

GCF(21777,21789) = 3
LCM(21777,21789) = ( 21777 × 21789) / 3
LCM(21777,21789) = 474499053 / 3
LCM(21777,21789) = 158166351

Least Common Multiple (LCM) of 21777 and 21789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21777 and 21789. First we will calculate the prime factors of 21777 and 21789.

Prime Factorization of 21777

Prime Factorization of 21789

Now multiplying the highest exponent prime factors to calculate the LCM of 21777 and 21789.

LCM(21777,21789) = 3⁴ × 7¹ × 17¹ × 61¹ × 269¹
LCM(21777,21789) = 158166351