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What is the Least Common Multiple of 55780 and 55800?

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 55780 and 55800 is 155626200.

LCM(55780,55800) = 155626200

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Least Common Multiple of 55780 and 55800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55780 and 55800, than apply into the LCM equation.

GCF(55780,55800) = 20
LCM(55780,55800) = ( 55780 × 55800) / 20
LCM(55780,55800) = 3112524000 / 20
LCM(55780,55800) = 155626200

Least Common Multiple (LCM) of 55780 and 55800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55780 and 55800. First we will calculate the prime factors of 55780 and 55800.

Prime Factorization of 55780

Prime factors of 55780 are 2, 5, 2789. Prime factorization of 55780 in exponential form is:

55780 = 22 × 51 × 27891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 55780 and 55800.

LCM(55780,55800) = 23 × 52 × 27891 × 32 × 311
LCM(55780,55800) = 155626200