What is the Least Common Multiple of 99785 and 99800?

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 99785 and 99800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99785 and 99800, than apply into the LCM equation.

GCF(99785,99800) = 5
LCM(99785,99800) = ( 99785 × 99800) / 5
LCM(99785,99800) = 9958543000 / 5
LCM(99785,99800) = 1991708600

Least Common Multiple (LCM) of 99785 and 99800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99785 and 99800. First we will calculate the prime factors of 99785 and 99800.

Prime Factorization of 99785

Prime Factorization of 99800

Now multiplying the highest exponent prime factors to calculate the LCM of 99785 and 99800.

LCM(99785,99800) = 5² × 7¹ × 2851¹ × 2³ × 499¹
LCM(99785,99800) = 1991708600