What is the Least Common Multiple of 55284 and 55296?

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 55284 and 55296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55284 and 55296, than apply into the LCM equation.

GCF(55284,55296) = 12
LCM(55284,55296) = ( 55284 × 55296) / 12
LCM(55284,55296) = 3056984064 / 12
LCM(55284,55296) = 254748672

Least Common Multiple (LCM) of 55284 and 55296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55284 and 55296. First we will calculate the prime factors of 55284 and 55296.

Prime Factorization of 55284

Prime Factorization of 55296

Now multiplying the highest exponent prime factors to calculate the LCM of 55284 and 55296.

LCM(55284,55296) = 2¹¹ × 3³ × 17¹ × 271¹
LCM(55284,55296) = 254748672