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What is the Least Common Multiple of 55830 and 55836?

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 55830 and 55836 is 519553980.

LCM(55830,55836) = 519553980

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Least Common Multiple of 55830 and 55836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55830 and 55836, than apply into the LCM equation.

GCF(55830,55836) = 6
LCM(55830,55836) = ( 55830 × 55836) / 6
LCM(55830,55836) = 3117323880 / 6
LCM(55830,55836) = 519553980

Least Common Multiple (LCM) of 55830 and 55836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55830 and 55836. First we will calculate the prime factors of 55830 and 55836.

Prime Factorization of 55830

Prime factors of 55830 are 2, 3, 5, 1861. Prime factorization of 55830 in exponential form is:

55830 = 21 × 31 × 51 × 18611

Prime Factorization of 55836

Prime factors of 55836 are 2, 3, 11, 47. Prime factorization of 55836 in exponential form is:

55836 = 22 × 33 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 55830 and 55836.

LCM(55830,55836) = 22 × 33 × 51 × 18611 × 111 × 471
LCM(55830,55836) = 519553980