What is the Least Common Multiple of 83398 and 83410?

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 83398 and 83410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83398 and 83410, than apply into the LCM equation.

GCF(83398,83410) = 2
LCM(83398,83410) = ( 83398 × 83410) / 2
LCM(83398,83410) = 6956227180 / 2
LCM(83398,83410) = 3478113590

Least Common Multiple (LCM) of 83398 and 83410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83398 and 83410. First we will calculate the prime factors of 83398 and 83410.

Prime Factorization of 83398

Prime Factorization of 83410

Now multiplying the highest exponent prime factors to calculate the LCM of 83398 and 83410.

LCM(83398,83410) = 2¹ × 7² × 23¹ × 37¹ × 5¹ × 19¹ × 439¹
LCM(83398,83410) = 3478113590