What is the Least Common Multiple of 21735 and 21741?

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 21741 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 21741, than apply into the LCM equation.

GCF(21735,21741) = 3
LCM(21735,21741) = ( 21735 × 21741) / 3
LCM(21735,21741) = 472540635 / 3
LCM(21735,21741) = 157513545

Least Common Multiple (LCM) of 21735 and 21741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21735 and 21741. First we will calculate the prime factors of 21735 and 21741.

Prime Factorization of 21735

Prime Factorization of 21741

Now multiplying the highest exponent prime factors to calculate the LCM of 21735 and 21741.

LCM(21735,21741) = 3³ × 5¹ × 7¹ × 23¹ × 7247¹
LCM(21735,21741) = 157513545