What is the Least Common Multiple of 80398 and 80410?

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 80398 and 80410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80398 and 80410, than apply into the LCM equation.

GCF(80398,80410) = 2
LCM(80398,80410) = ( 80398 × 80410) / 2
LCM(80398,80410) = 6464803180 / 2
LCM(80398,80410) = 3232401590

Least Common Multiple (LCM) of 80398 and 80410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80398 and 80410. First we will calculate the prime factors of 80398 and 80410.

Prime Factorization of 80398

Prime Factorization of 80410

Now multiplying the highest exponent prime factors to calculate the LCM of 80398 and 80410.

LCM(80398,80410) = 2¹ × 61¹ × 659¹ × 5¹ × 11¹ × 17¹ × 43¹
LCM(80398,80410) = 3232401590