What is the Least Common Multiple of 8380 and 8398?

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 8380 and 8398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8380 and 8398, than apply into the LCM equation.

GCF(8380,8398) = 2
LCM(8380,8398) = ( 8380 × 8398) / 2
LCM(8380,8398) = 70375240 / 2
LCM(8380,8398) = 35187620

Least Common Multiple (LCM) of 8380 and 8398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8380 and 8398. First we will calculate the prime factors of 8380 and 8398.

Prime Factorization of 8380

Prime Factorization of 8398

Now multiplying the highest exponent prime factors to calculate the LCM of 8380 and 8398.

LCM(8380,8398) = 2² × 5¹ × 419¹ × 13¹ × 17¹ × 19¹
LCM(8380,8398) = 35187620