What is the Least Common Multiple of 98395 and 98410?

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 98395 and 98410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98395 and 98410, than apply into the LCM equation.

GCF(98395,98410) = 5
LCM(98395,98410) = ( 98395 × 98410) / 5
LCM(98395,98410) = 9683051950 / 5
LCM(98395,98410) = 1936610390

Least Common Multiple (LCM) of 98395 and 98410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98395 and 98410. First we will calculate the prime factors of 98395 and 98410.

Prime Factorization of 98395

Prime Factorization of 98410

Now multiplying the highest exponent prime factors to calculate the LCM of 98395 and 98410.

LCM(98395,98410) = 5¹ × 11¹ × 1789¹ × 2¹ × 13¹ × 757¹
LCM(98395,98410) = 1936610390