What is the Least Common Multiple of 55280 and 55286?

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 55280 and 55286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55280 and 55286, than apply into the LCM equation.

GCF(55280,55286) = 2
LCM(55280,55286) = ( 55280 × 55286) / 2
LCM(55280,55286) = 3056210080 / 2
LCM(55280,55286) = 1528105040

Least Common Multiple (LCM) of 55280 and 55286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55280 and 55286. First we will calculate the prime factors of 55280 and 55286.

Prime Factorization of 55280

Prime Factorization of 55286

Now multiplying the highest exponent prime factors to calculate the LCM of 55280 and 55286.

LCM(55280,55286) = 2⁴ × 5¹ × 691¹ × 7¹ × 11¹ × 359¹
LCM(55280,55286) = 1528105040