What is the Least Common Multiple of 99765 and 99783?

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 99765 and 99783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99765 and 99783, than apply into the LCM equation.

GCF(99765,99783) = 9
LCM(99765,99783) = ( 99765 × 99783) / 9
LCM(99765,99783) = 9954850995 / 9
LCM(99765,99783) = 1106094555

Least Common Multiple (LCM) of 99765 and 99783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99765 and 99783. First we will calculate the prime factors of 99765 and 99783.

Prime Factorization of 99765

Prime Factorization of 99783

Now multiplying the highest exponent prime factors to calculate the LCM of 99765 and 99783.

LCM(99765,99783) = 3³ × 5¹ × 739¹ × 11087¹
LCM(99765,99783) = 1106094555