What is the Least Common Multiple of 99935 and 99955?

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 99935 and 99955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99935 and 99955, than apply into the LCM equation.

GCF(99935,99955) = 5
LCM(99935,99955) = ( 99935 × 99955) / 5
LCM(99935,99955) = 9989002925 / 5
LCM(99935,99955) = 1997800585

Least Common Multiple (LCM) of 99935 and 99955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99935 and 99955. First we will calculate the prime factors of 99935 and 99955.

Prime Factorization of 99935

Prime Factorization of 99955

Now multiplying the highest exponent prime factors to calculate the LCM of 99935 and 99955.

LCM(99935,99955) = 5¹ × 11¹ × 23¹ × 79¹ × 19991¹
LCM(99935,99955) = 1997800585