What is the Least Common Multiple of 99975 and 99988?

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 99988 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 99988, than apply into the LCM equation.

GCF(99975,99988) = 1
LCM(99975,99988) = ( 99975 × 99988) / 1
LCM(99975,99988) = 9996300300 / 1
LCM(99975,99988) = 9996300300

Least Common Multiple (LCM) of 99975 and 99988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99975 and 99988. First we will calculate the prime factors of 99975 and 99988.

Prime Factorization of 99975

Prime Factorization of 99988

Now multiplying the highest exponent prime factors to calculate the LCM of 99975 and 99988.

LCM(99975,99988) = 3¹ × 5² × 31¹ × 43¹ × 2² × 7¹ × 3571¹
LCM(99975,99988) = 9996300300