What is the Least Common Multiple of 99705 and 99719?

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 99719 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 99719, than apply into the LCM equation.

GCF(99705,99719) = 1
LCM(99705,99719) = ( 99705 × 99719) / 1
LCM(99705,99719) = 9942482895 / 1
LCM(99705,99719) = 9942482895

Least Common Multiple (LCM) of 99705 and 99719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99705 and 99719. First we will calculate the prime factors of 99705 and 99719.

Prime Factorization of 99705

Prime Factorization of 99719

Now multiplying the highest exponent prime factors to calculate the LCM of 99705 and 99719.

LCM(99705,99719) = 3¹ × 5¹ × 17² × 23¹ × 99719¹
LCM(99705,99719) = 9942482895