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What is the Least Common Multiple of 55434 and 55440?

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 (LCM) of 55434 and 55440 is 512210160.

LCM(55434,55440) = 512210160

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Least Common Multiple of 55434 and 55440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55434 and 55440, than apply into the LCM equation.

GCF(55434,55440) = 6
LCM(55434,55440) = ( 55434 × 55440) / 6
LCM(55434,55440) = 3073260960 / 6
LCM(55434,55440) = 512210160

Least Common Multiple (LCM) of 55434 and 55440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55434 and 55440. First we will calculate the prime factors of 55434 and 55440.

Prime Factorization of 55434

Prime factors of 55434 are 2, 3, 9239. Prime factorization of 55434 in exponential form is:

55434 = 21 × 31 × 92391

Prime Factorization of 55440

Prime factors of 55440 are 2, 3, 5, 7, 11. Prime factorization of 55440 in exponential form is:

55440 = 24 × 32 × 51 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 55434 and 55440.

LCM(55434,55440) = 24 × 32 × 92391 × 51 × 71 × 111
LCM(55434,55440) = 512210160