What is the Least Common Multiple of 99783 and 99799?

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 99783 and 99799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99783 and 99799, than apply into the LCM equation.

GCF(99783,99799) = 1
LCM(99783,99799) = ( 99783 × 99799) / 1
LCM(99783,99799) = 9958243617 / 1
LCM(99783,99799) = 9958243617

Least Common Multiple (LCM) of 99783 and 99799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99783 and 99799. First we will calculate the prime factors of 99783 and 99799.

Prime Factorization of 99783

Prime Factorization of 99799

Now multiplying the highest exponent prime factors to calculate the LCM of 99783 and 99799.

LCM(99783,99799) = 3² × 11087¹ × 7¹ × 53¹ × 269¹
LCM(99783,99799) = 9958243617