What is the Least Common Multiple of 55176 and 55184?

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 55176 and 55184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55176 and 55184, than apply into the LCM equation.

GCF(55176,55184) = 8
LCM(55176,55184) = ( 55176 × 55184) / 8
LCM(55176,55184) = 3044832384 / 8
LCM(55176,55184) = 380604048

Least Common Multiple (LCM) of 55176 and 55184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55176 and 55184. First we will calculate the prime factors of 55176 and 55184.

Prime Factorization of 55176

Prime Factorization of 55184

Now multiplying the highest exponent prime factors to calculate the LCM of 55176 and 55184.

LCM(55176,55184) = 2⁴ × 3¹ × 11² × 19¹ × 3449¹
LCM(55176,55184) = 380604048