What is the Least Common Multiple of 99714 and 99723?

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 99714 and 99723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99714 and 99723, than apply into the LCM equation.

GCF(99714,99723) = 3
LCM(99714,99723) = ( 99714 × 99723) / 3
LCM(99714,99723) = 9943779222 / 3
LCM(99714,99723) = 3314593074

Least Common Multiple (LCM) of 99714 and 99723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99714 and 99723. First we will calculate the prime factors of 99714 and 99723.

Prime Factorization of 99714

Prime Factorization of 99723

Now multiplying the highest exponent prime factors to calculate the LCM of 99714 and 99723.

LCM(99714,99723) = 2¹ × 3¹ × 16619¹ × 13¹ × 2557¹
LCM(99714,99723) = 3314593074