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What is the Least Common Multiple of 55634 and 55640?

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 55634 and 55640 is 1547737880.

LCM(55634,55640) = 1547737880

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Least Common Multiple of 55634 and 55640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55634 and 55640, than apply into the LCM equation.

GCF(55634,55640) = 2
LCM(55634,55640) = ( 55634 × 55640) / 2
LCM(55634,55640) = 3095475760 / 2
LCM(55634,55640) = 1547737880

Least Common Multiple (LCM) of 55634 and 55640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55634 and 55640. First we will calculate the prime factors of 55634 and 55640.

Prime Factorization of 55634

Prime factors of 55634 are 2, 27817. Prime factorization of 55634 in exponential form is:

55634 = 21 × 278171

Prime Factorization of 55640

Prime factors of 55640 are 2, 5, 13, 107. Prime factorization of 55640 in exponential form is:

55640 = 23 × 51 × 131 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 55634 and 55640.

LCM(55634,55640) = 23 × 278171 × 51 × 131 × 1071
LCM(55634,55640) = 1547737880