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What is the Least Common Multiple of 55768 and 55783?

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 55768 and 55783 is 3110906344.

LCM(55768,55783) = 3110906344

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Least Common Multiple of 55768 and 55783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55768 and 55783, than apply into the LCM equation.

GCF(55768,55783) = 1
LCM(55768,55783) = ( 55768 × 55783) / 1
LCM(55768,55783) = 3110906344 / 1
LCM(55768,55783) = 3110906344

Least Common Multiple (LCM) of 55768 and 55783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55768 and 55783. First we will calculate the prime factors of 55768 and 55783.

Prime Factorization of 55768

Prime factors of 55768 are 2, 6971. Prime factorization of 55768 in exponential form is:

55768 = 23 × 69711

Prime Factorization of 55783

Prime factors of 55783 are 7, 13, 613. Prime factorization of 55783 in exponential form is:

55783 = 71 × 131 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 55768 and 55783.

LCM(55768,55783) = 23 × 69711 × 71 × 131 × 6131
LCM(55768,55783) = 3110906344