What is the Least Common Multiple of 19716 and 19731?

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 19716 and 19731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19716 and 19731, than apply into the LCM equation.

GCF(19716,19731) = 3
LCM(19716,19731) = ( 19716 × 19731) / 3
LCM(19716,19731) = 389016396 / 3
LCM(19716,19731) = 129672132

Least Common Multiple (LCM) of 19716 and 19731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19716 and 19731. First we will calculate the prime factors of 19716 and 19731.

Prime Factorization of 19716

Prime Factorization of 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 19716 and 19731.

LCM(19716,19731) = 2² × 3¹ × 31¹ × 53¹ × 6577¹
LCM(19716,19731) = 129672132