What is the Least Common Multiple of 19712 and 19723?

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 19712 and 19723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19712 and 19723, than apply into the LCM equation.

GCF(19712,19723) = 11
LCM(19712,19723) = ( 19712 × 19723) / 11
LCM(19712,19723) = 388779776 / 11
LCM(19712,19723) = 35343616

Least Common Multiple (LCM) of 19712 and 19723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19712 and 19723. First we will calculate the prime factors of 19712 and 19723.

Prime Factorization of 19712

Prime Factorization of 19723

Now multiplying the highest exponent prime factors to calculate the LCM of 19712 and 19723.

LCM(19712,19723) = 2⁸ × 7¹ × 11² × 163¹
LCM(19712,19723) = 35343616