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What is the Least Common Multiple of 53832 and 53838?

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 53832 and 53838 is 483034536.

LCM(53832,53838) = 483034536

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Least Common Multiple of 53832 and 53838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53832 and 53838, than apply into the LCM equation.

GCF(53832,53838) = 6
LCM(53832,53838) = ( 53832 × 53838) / 6
LCM(53832,53838) = 2898207216 / 6
LCM(53832,53838) = 483034536

Least Common Multiple (LCM) of 53832 and 53838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53832 and 53838. First we will calculate the prime factors of 53832 and 53838.

Prime Factorization of 53832

Prime factors of 53832 are 2, 3, 2243. Prime factorization of 53832 in exponential form is:

53832 = 23 × 31 × 22431

Prime Factorization of 53838

Prime factors of 53838 are 2, 3, 997. Prime factorization of 53838 in exponential form is:

53838 = 21 × 33 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 53832 and 53838.

LCM(53832,53838) = 23 × 33 × 22431 × 9971
LCM(53832,53838) = 483034536