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What is the Least Common Multiple of 55800 and 55804?

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 55800 and 55804 is 778465800.

LCM(55800,55804) = 778465800

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Least Common Multiple of 55800 and 55804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55800 and 55804, than apply into the LCM equation.

GCF(55800,55804) = 4
LCM(55800,55804) = ( 55800 × 55804) / 4
LCM(55800,55804) = 3113863200 / 4
LCM(55800,55804) = 778465800

Least Common Multiple (LCM) of 55800 and 55804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55800 and 55804. First we will calculate the prime factors of 55800 and 55804.

Prime Factorization of 55800

Prime factors of 55800 are 2, 3, 5, 31. Prime factorization of 55800 in exponential form is:

55800 = 23 × 32 × 52 × 311

Prime Factorization of 55804

Prime factors of 55804 are 2, 7, 1993. Prime factorization of 55804 in exponential form is:

55804 = 22 × 71 × 19931

Now multiplying the highest exponent prime factors to calculate the LCM of 55800 and 55804.

LCM(55800,55804) = 23 × 32 × 52 × 311 × 71 × 19931
LCM(55800,55804) = 778465800