What is the Least Common Multiple of 13821 and 13840?

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 13821 and 13840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13821 and 13840, than apply into the LCM equation.

GCF(13821,13840) = 1
LCM(13821,13840) = ( 13821 × 13840) / 1
LCM(13821,13840) = 191282640 / 1
LCM(13821,13840) = 191282640

Least Common Multiple (LCM) of 13821 and 13840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13821 and 13840. First we will calculate the prime factors of 13821 and 13840.

Prime Factorization of 13821

Prime Factorization of 13840

Now multiplying the highest exponent prime factors to calculate the LCM of 13821 and 13840.

LCM(13821,13840) = 3¹ × 17¹ × 271¹ × 2⁴ × 5¹ × 173¹
LCM(13821,13840) = 191282640