What is the Least Common Multiple of 8365 and 8380?

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 8365 and 8380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8365 and 8380, than apply into the LCM equation.

GCF(8365,8380) = 5
LCM(8365,8380) = ( 8365 × 8380) / 5
LCM(8365,8380) = 70098700 / 5
LCM(8365,8380) = 14019740

Least Common Multiple (LCM) of 8365 and 8380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8365 and 8380. First we will calculate the prime factors of 8365 and 8380.

Prime Factorization of 8365

Prime Factorization of 8380

Now multiplying the highest exponent prime factors to calculate the LCM of 8365 and 8380.

LCM(8365,8380) = 5¹ × 7¹ × 239¹ × 2² × 419¹
LCM(8365,8380) = 14019740