What is the Least Common Multiple of 19729 and 19740?

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 19729 and 19740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19729 and 19740, than apply into the LCM equation.

GCF(19729,19740) = 1
LCM(19729,19740) = ( 19729 × 19740) / 1
LCM(19729,19740) = 389450460 / 1
LCM(19729,19740) = 389450460

Least Common Multiple (LCM) of 19729 and 19740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19729 and 19740. First we will calculate the prime factors of 19729 and 19740.

Prime Factorization of 19729

Prime Factorization of 19740

Now multiplying the highest exponent prime factors to calculate the LCM of 19729 and 19740.

LCM(19729,19740) = 109¹ × 181¹ × 2² × 3¹ × 5¹ × 7¹ × 47¹
LCM(19729,19740) = 389450460