What is the Least Common Multiple of 8280 and 8285?

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 8280 and 8285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8280 and 8285, than apply into the LCM equation.

GCF(8280,8285) = 5
LCM(8280,8285) = ( 8280 × 8285) / 5
LCM(8280,8285) = 68599800 / 5
LCM(8280,8285) = 13719960

Least Common Multiple (LCM) of 8280 and 8285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8280 and 8285. First we will calculate the prime factors of 8280 and 8285.

Prime Factorization of 8280

Prime Factorization of 8285

Now multiplying the highest exponent prime factors to calculate the LCM of 8280 and 8285.

LCM(8280,8285) = 2³ × 3² × 5¹ × 23¹ × 1657¹
LCM(8280,8285) = 13719960