What is the Least Common Multiple of 99717 and 99729?

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 99717 and 99729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99717 and 99729, than apply into the LCM equation.

GCF(99717,99729) = 3
LCM(99717,99729) = ( 99717 × 99729) / 3
LCM(99717,99729) = 9944676693 / 3
LCM(99717,99729) = 3314892231

Least Common Multiple (LCM) of 99717 and 99729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99717 and 99729. First we will calculate the prime factors of 99717 and 99729.

Prime Factorization of 99717

Prime Factorization of 99729

Now multiplying the highest exponent prime factors to calculate the LCM of 99717 and 99729.

LCM(99717,99729) = 3² × 43¹ × 773¹ × 7¹ × 1583¹
LCM(99717,99729) = 3314892231