What is the Least Common Multiple of 78280 and 78286?

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 78280 and 78286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78280 and 78286, than apply into the LCM equation.

GCF(78280,78286) = 2
LCM(78280,78286) = ( 78280 × 78286) / 2
LCM(78280,78286) = 6128228080 / 2
LCM(78280,78286) = 3064114040

Least Common Multiple (LCM) of 78280 and 78286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78280 and 78286. First we will calculate the prime factors of 78280 and 78286.

Prime Factorization of 78280

Prime Factorization of 78286

Now multiplying the highest exponent prime factors to calculate the LCM of 78280 and 78286.

LCM(78280,78286) = 2³ × 5¹ × 19¹ × 103¹ × 13¹ × 3011¹
LCM(78280,78286) = 3064114040