What is the Least Common Multiple of 8380 and 8399?

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 8399 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 8399, than apply into the LCM equation.

GCF(8380,8399) = 1
LCM(8380,8399) = ( 8380 × 8399) / 1
LCM(8380,8399) = 70383620 / 1
LCM(8380,8399) = 70383620

Least Common Multiple (LCM) of 8380 and 8399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8380 and 8399. First we will calculate the prime factors of 8380 and 8399.

Prime Factorization of 8380

Prime Factorization of 8399

Now multiplying the highest exponent prime factors to calculate the LCM of 8380 and 8399.

LCM(8380,8399) = 2² × 5¹ × 419¹ × 37¹ × 227¹
LCM(8380,8399) = 70383620