What is the Least Common Multiple of 99975 and 99980?

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 99980 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 99980, than apply into the LCM equation.

GCF(99975,99980) = 5
LCM(99975,99980) = ( 99975 × 99980) / 5
LCM(99975,99980) = 9995500500 / 5
LCM(99975,99980) = 1999100100

Least Common Multiple (LCM) of 99975 and 99980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99975 and 99980. First we will calculate the prime factors of 99975 and 99980.

Prime Factorization of 99975

Prime Factorization of 99980

Now multiplying the highest exponent prime factors to calculate the LCM of 99975 and 99980.

LCM(99975,99980) = 3¹ × 5² × 31¹ × 43¹ × 2² × 4999¹
LCM(99975,99980) = 1999100100