What is the Least Common Multiple of 21784 and 21798?

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 21784 and 21798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21784 and 21798, than apply into the LCM equation.

GCF(21784,21798) = 14
LCM(21784,21798) = ( 21784 × 21798) / 14
LCM(21784,21798) = 474847632 / 14
LCM(21784,21798) = 33917688

Least Common Multiple (LCM) of 21784 and 21798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21784 and 21798. First we will calculate the prime factors of 21784 and 21798.

Prime Factorization of 21784

Prime Factorization of 21798

Now multiplying the highest exponent prime factors to calculate the LCM of 21784 and 21798.

LCM(21784,21798) = 2³ × 7¹ × 389¹ × 3² × 173¹
LCM(21784,21798) = 33917688