What is the Least Common Multiple of 55814 and 55819?

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 55814 and 55819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55814 and 55819, than apply into the LCM equation.

GCF(55814,55819) = 1
LCM(55814,55819) = ( 55814 × 55819) / 1
LCM(55814,55819) = 3115481666 / 1
LCM(55814,55819) = 3115481666

Least Common Multiple (LCM) of 55814 and 55819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55814 and 55819. First we will calculate the prime factors of 55814 and 55819.

Prime Factorization of 55814

Prime Factorization of 55819

Now multiplying the highest exponent prime factors to calculate the LCM of 55814 and 55819.

LCM(55814,55819) = 2¹ × 11¹ × 43¹ × 59¹ × 55819¹
LCM(55814,55819) = 3115481666