What is the Least Common Multiple of 99827 and 99841?

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 99827 and 99841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99827 and 99841, than apply into the LCM equation.

GCF(99827,99841) = 7
LCM(99827,99841) = ( 99827 × 99841) / 7
LCM(99827,99841) = 9966827507 / 7
LCM(99827,99841) = 1423832501

Least Common Multiple (LCM) of 99827 and 99841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99827 and 99841. First we will calculate the prime factors of 99827 and 99841.

Prime Factorization of 99827

Prime Factorization of 99841

Now multiplying the highest exponent prime factors to calculate the LCM of 99827 and 99841.

LCM(99827,99841) = 7¹ × 13¹ × 1097¹ × 17¹ × 839¹
LCM(99827,99841) = 1423832501