What is the Least Common Multiple of 55944 and 55956?

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 55944 and 55956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55944 and 55956, than apply into the LCM equation.

GCF(55944,55956) = 12
LCM(55944,55956) = ( 55944 × 55956) / 12
LCM(55944,55956) = 3130402464 / 12
LCM(55944,55956) = 260866872

Least Common Multiple (LCM) of 55944 and 55956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55944 and 55956. First we will calculate the prime factors of 55944 and 55956.

Prime Factorization of 55944

Prime Factorization of 55956

Now multiplying the highest exponent prime factors to calculate the LCM of 55944 and 55956.

LCM(55944,55956) = 2³ × 3³ × 7¹ × 37¹ × 4663¹
LCM(55944,55956) = 260866872