What is the Least Common Multiple of 19724 and 19729?

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 19724 and 19729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19724 and 19729, than apply into the LCM equation.

GCF(19724,19729) = 1
LCM(19724,19729) = ( 19724 × 19729) / 1
LCM(19724,19729) = 389134796 / 1
LCM(19724,19729) = 389134796

Least Common Multiple (LCM) of 19724 and 19729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19724 and 19729. First we will calculate the prime factors of 19724 and 19729.

Prime Factorization of 19724

Prime Factorization of 19729

Now multiplying the highest exponent prime factors to calculate the LCM of 19724 and 19729.

LCM(19724,19729) = 2² × 4931¹ × 109¹ × 181¹
LCM(19724,19729) = 389134796