What is the Least Common Multiple of 98887 and 98900?

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 98887 and 98900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98887 and 98900, than apply into the LCM equation.

GCF(98887,98900) = 1
LCM(98887,98900) = ( 98887 × 98900) / 1
LCM(98887,98900) = 9779924300 / 1
LCM(98887,98900) = 9779924300

Least Common Multiple (LCM) of 98887 and 98900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98887 and 98900. First we will calculate the prime factors of 98887 and 98900.

Prime Factorization of 98887

Prime Factorization of 98900

Now multiplying the highest exponent prime factors to calculate the LCM of 98887 and 98900.

LCM(98887,98900) = 98887¹ × 2² × 5² × 23¹ × 43¹
LCM(98887,98900) = 9779924300