What is the Least Common Multiple of 98900 and 98920?

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 98920 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 98920, than apply into the LCM equation.

GCF(98900,98920) = 20
LCM(98900,98920) = ( 98900 × 98920) / 20
LCM(98900,98920) = 9783188000 / 20
LCM(98900,98920) = 489159400

Least Common Multiple (LCM) of 98900 and 98920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98900 and 98920. First we will calculate the prime factors of 98900 and 98920.

Prime Factorization of 98900

Prime Factorization of 98920

Now multiplying the highest exponent prime factors to calculate the LCM of 98900 and 98920.

LCM(98900,98920) = 2³ × 5² × 23¹ × 43¹ × 2473¹
LCM(98900,98920) = 489159400