What is the Least Common Multiple of 19705 and 19724?

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 19705 and 19724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19705 and 19724, than apply into the LCM equation.

GCF(19705,19724) = 1
LCM(19705,19724) = ( 19705 × 19724) / 1
LCM(19705,19724) = 388661420 / 1
LCM(19705,19724) = 388661420

Least Common Multiple (LCM) of 19705 and 19724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19705 and 19724. First we will calculate the prime factors of 19705 and 19724.

Prime Factorization of 19705

Prime Factorization of 19724

Now multiplying the highest exponent prime factors to calculate the LCM of 19705 and 19724.

LCM(19705,19724) = 5¹ × 7¹ × 563¹ × 2² × 4931¹
LCM(19705,19724) = 388661420