What is the Least Common Multiple of 97982 and 98000?

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 97982 and 98000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97982 and 98000, than apply into the LCM equation.

GCF(97982,98000) = 2
LCM(97982,98000) = ( 97982 × 98000) / 2
LCM(97982,98000) = 9602236000 / 2
LCM(97982,98000) = 4801118000

Least Common Multiple (LCM) of 97982 and 98000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97982 and 98000. First we will calculate the prime factors of 97982 and 98000.

Prime Factorization of 97982

Prime Factorization of 98000

Now multiplying the highest exponent prime factors to calculate the LCM of 97982 and 98000.

LCM(97982,98000) = 2⁴ × 48991¹ × 5³ × 7²
LCM(97982,98000) = 4801118000