What is the Least Common Multiple of 21738 and 21745?

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 21738 and 21745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21738 and 21745, than apply into the LCM equation.

GCF(21738,21745) = 1
LCM(21738,21745) = ( 21738 × 21745) / 1
LCM(21738,21745) = 472692810 / 1
LCM(21738,21745) = 472692810

Least Common Multiple (LCM) of 21738 and 21745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21738 and 21745. First we will calculate the prime factors of 21738 and 21745.

Prime Factorization of 21738

Prime Factorization of 21745

Now multiplying the highest exponent prime factors to calculate the LCM of 21738 and 21745.

LCM(21738,21745) = 2¹ × 3¹ × 3623¹ × 5¹ × 4349¹
LCM(21738,21745) = 472692810