What is the Least Common Multiple of 99718 and 99737?

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 99718 and 99737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99718 and 99737, than apply into the LCM equation.

GCF(99718,99737) = 1
LCM(99718,99737) = ( 99718 × 99737) / 1
LCM(99718,99737) = 9945574166 / 1
LCM(99718,99737) = 9945574166

Least Common Multiple (LCM) of 99718 and 99737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99718 and 99737. First we will calculate the prime factors of 99718 and 99737.

Prime Factorization of 99718

Prime Factorization of 99737

Now multiplying the highest exponent prime factors to calculate the LCM of 99718 and 99737.

LCM(99718,99737) = 2¹ × 73¹ × 683¹ × 11¹ × 9067¹
LCM(99718,99737) = 9945574166