What is the Least Common Multiple of 99853 and 99873?

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 99853 and 99873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99853 and 99873, than apply into the LCM equation.

GCF(99853,99873) = 1
LCM(99853,99873) = ( 99853 × 99873) / 1
LCM(99853,99873) = 9972618669 / 1
LCM(99853,99873) = 9972618669

Least Common Multiple (LCM) of 99853 and 99873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99853 and 99873. First we will calculate the prime factors of 99853 and 99873.

Prime Factorization of 99853

Prime Factorization of 99873

Now multiplying the highest exponent prime factors to calculate the LCM of 99853 and 99873.

LCM(99853,99873) = 13¹ × 7681¹ × 3⁶ × 137¹
LCM(99853,99873) = 9972618669