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What is the Least Common Multiple of 55759 and 55776?

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 55759 and 55776 is 3110013984.

LCM(55759,55776) = 3110013984

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Least Common Multiple of 55759 and 55776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55759 and 55776, than apply into the LCM equation.

GCF(55759,55776) = 1
LCM(55759,55776) = ( 55759 × 55776) / 1
LCM(55759,55776) = 3110013984 / 1
LCM(55759,55776) = 3110013984

Least Common Multiple (LCM) of 55759 and 55776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55759 and 55776. First we will calculate the prime factors of 55759 and 55776.

Prime Factorization of 55759

Prime factors of 55759 are 11, 37, 137. Prime factorization of 55759 in exponential form is:

55759 = 111 × 371 × 1371

Prime Factorization of 55776

Prime factors of 55776 are 2, 3, 7, 83. Prime factorization of 55776 in exponential form is:

55776 = 25 × 31 × 71 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 55759 and 55776.

LCM(55759,55776) = 111 × 371 × 1371 × 25 × 31 × 71 × 831
LCM(55759,55776) = 3110013984