What is the Least Common Multiple of 99666 and 99683?

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 99666 and 99683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99666 and 99683, than apply into the LCM equation.

GCF(99666,99683) = 1
LCM(99666,99683) = ( 99666 × 99683) / 1
LCM(99666,99683) = 9935005878 / 1
LCM(99666,99683) = 9935005878

Least Common Multiple (LCM) of 99666 and 99683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99666 and 99683. First we will calculate the prime factors of 99666 and 99683.

Prime Factorization of 99666

Prime Factorization of 99683

Now multiplying the highest exponent prime factors to calculate the LCM of 99666 and 99683.

LCM(99666,99683) = 2¹ × 3² × 7² × 113¹ × 83¹ × 1201¹
LCM(99666,99683) = 9935005878