What is the Least Common Multiple of 98900 and 98905?

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 98900 and 98905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98900 and 98905, than apply into the LCM equation.

GCF(98900,98905) = 5
LCM(98900,98905) = ( 98900 × 98905) / 5
LCM(98900,98905) = 9781704500 / 5
LCM(98900,98905) = 1956340900

Least Common Multiple (LCM) of 98900 and 98905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98900 and 98905. First we will calculate the prime factors of 98900 and 98905.

Prime Factorization of 98900

Prime Factorization of 98905

Now multiplying the highest exponent prime factors to calculate the LCM of 98900 and 98905.

LCM(98900,98905) = 2² × 5² × 23¹ × 43¹ × 131¹ × 151¹
LCM(98900,98905) = 1956340900