What is the Least Common Multiple of 21735 and 21743?

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 21735 and 21743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21735 and 21743, than apply into the LCM equation.

GCF(21735,21743) = 1
LCM(21735,21743) = ( 21735 × 21743) / 1
LCM(21735,21743) = 472584105 / 1
LCM(21735,21743) = 472584105

Least Common Multiple (LCM) of 21735 and 21743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21735 and 21743. First we will calculate the prime factors of 21735 and 21743.

Prime Factorization of 21735

Prime Factorization of 21743

Now multiplying the highest exponent prime factors to calculate the LCM of 21735 and 21743.

LCM(21735,21743) = 3³ × 5¹ × 7¹ × 23¹ × 17¹ × 1279¹
LCM(21735,21743) = 472584105