What is the Least Common Multiple of 55278 and 55284?

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 55278 and 55284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55278 and 55284, than apply into the LCM equation.

GCF(55278,55284) = 6
LCM(55278,55284) = ( 55278 × 55284) / 6
LCM(55278,55284) = 3055988952 / 6
LCM(55278,55284) = 509331492

Least Common Multiple (LCM) of 55278 and 55284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55278 and 55284. First we will calculate the prime factors of 55278 and 55284.

Prime Factorization of 55278

Prime Factorization of 55284

Now multiplying the highest exponent prime factors to calculate the LCM of 55278 and 55284.

LCM(55278,55284) = 2² × 3² × 37¹ × 83¹ × 17¹ × 271¹
LCM(55278,55284) = 509331492