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What is the Least Common Multiple of 65754 and 65771?

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 65754 and 65771 is 4324706334.

LCM(65754,65771) = 4324706334

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Least Common Multiple of 65754 and 65771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65754 and 65771, than apply into the LCM equation.

GCF(65754,65771) = 1
LCM(65754,65771) = ( 65754 × 65771) / 1
LCM(65754,65771) = 4324706334 / 1
LCM(65754,65771) = 4324706334

Least Common Multiple (LCM) of 65754 and 65771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65754 and 65771. First we will calculate the prime factors of 65754 and 65771.

Prime Factorization of 65754

Prime factors of 65754 are 2, 3, 13, 281. Prime factorization of 65754 in exponential form is:

65754 = 21 × 32 × 131 × 2811

Prime Factorization of 65771

Prime factors of 65771 are 89, 739. Prime factorization of 65771 in exponential form is:

65771 = 891 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 65754 and 65771.

LCM(65754,65771) = 21 × 32 × 131 × 2811 × 891 × 7391
LCM(65754,65771) = 4324706334