What is the Least Common Multiple of 98380 and 98400?

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 98380 and 98400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98380 and 98400, than apply into the LCM equation.

GCF(98380,98400) = 20
LCM(98380,98400) = ( 98380 × 98400) / 20
LCM(98380,98400) = 9680592000 / 20
LCM(98380,98400) = 484029600

Least Common Multiple (LCM) of 98380 and 98400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98380 and 98400. First we will calculate the prime factors of 98380 and 98400.

Prime Factorization of 98380

Prime Factorization of 98400

Now multiplying the highest exponent prime factors to calculate the LCM of 98380 and 98400.

LCM(98380,98400) = 2⁵ × 5² × 4919¹ × 3¹ × 41¹
LCM(98380,98400) = 484029600