What is the Least Common Multiple of 98380 and 98397?

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 98397 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 98397, than apply into the LCM equation.

GCF(98380,98397) = 1
LCM(98380,98397) = ( 98380 × 98397) / 1
LCM(98380,98397) = 9680296860 / 1
LCM(98380,98397) = 9680296860

Least Common Multiple (LCM) of 98380 and 98397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98380 and 98397. First we will calculate the prime factors of 98380 and 98397.

Prime Factorization of 98380

Prime Factorization of 98397

Now multiplying the highest exponent prime factors to calculate the LCM of 98380 and 98397.

LCM(98380,98397) = 2² × 5¹ × 4919¹ × 3² × 13¹ × 29²
LCM(98380,98397) = 9680296860