What is the Least Common Multiple of 99975 and 99991?

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 99975 and 99991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99975 and 99991, than apply into the LCM equation.

GCF(99975,99991) = 1
LCM(99975,99991) = ( 99975 × 99991) / 1
LCM(99975,99991) = 9996600225 / 1
LCM(99975,99991) = 9996600225

Least Common Multiple (LCM) of 99975 and 99991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99975 and 99991. First we will calculate the prime factors of 99975 and 99991.

Prime Factorization of 99975

Prime Factorization of 99991

Now multiplying the highest exponent prime factors to calculate the LCM of 99975 and 99991.

LCM(99975,99991) = 3¹ × 5² × 31¹ × 43¹ × 99991¹
LCM(99975,99991) = 9996600225