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What is the Least Common Multiple of 55467 and 55483?

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 55467 and 55483 is 3077475561.

LCM(55467,55483) = 3077475561

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Least Common Multiple of 55467 and 55483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55467 and 55483, than apply into the LCM equation.

GCF(55467,55483) = 1
LCM(55467,55483) = ( 55467 × 55483) / 1
LCM(55467,55483) = 3077475561 / 1
LCM(55467,55483) = 3077475561

Least Common Multiple (LCM) of 55467 and 55483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55467 and 55483. First we will calculate the prime factors of 55467 and 55483.

Prime Factorization of 55467

Prime factors of 55467 are 3, 6163. Prime factorization of 55467 in exponential form is:

55467 = 32 × 61631

Prime Factorization of 55483

Prime factors of 55483 are 113, 491. Prime factorization of 55483 in exponential form is:

55483 = 1131 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 55467 and 55483.

LCM(55467,55483) = 32 × 61631 × 1131 × 4911
LCM(55467,55483) = 3077475561