What is the Least Common Multiple of 99705 and 99714?

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 99705 and 99714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99705 and 99714, than apply into the LCM equation.

GCF(99705,99714) = 3
LCM(99705,99714) = ( 99705 × 99714) / 3
LCM(99705,99714) = 9941984370 / 3
LCM(99705,99714) = 3313994790

Least Common Multiple (LCM) of 99705 and 99714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99705 and 99714. First we will calculate the prime factors of 99705 and 99714.

Prime Factorization of 99705

Prime Factorization of 99714

Now multiplying the highest exponent prime factors to calculate the LCM of 99705 and 99714.

LCM(99705,99714) = 3¹ × 5¹ × 17² × 23¹ × 2¹ × 16619¹
LCM(99705,99714) = 3313994790