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What is the Least Common Multiple of 65440 and 65451?

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 65440 and 65451 is 4283113440.

LCM(65440,65451) = 4283113440

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Least Common Multiple of 65440 and 65451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65440 and 65451, than apply into the LCM equation.

GCF(65440,65451) = 1
LCM(65440,65451) = ( 65440 × 65451) / 1
LCM(65440,65451) = 4283113440 / 1
LCM(65440,65451) = 4283113440

Least Common Multiple (LCM) of 65440 and 65451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65440 and 65451. First we will calculate the prime factors of 65440 and 65451.

Prime Factorization of 65440

Prime factors of 65440 are 2, 5, 409. Prime factorization of 65440 in exponential form is:

65440 = 25 × 51 × 4091

Prime Factorization of 65451

Prime factors of 65451 are 3, 21817. Prime factorization of 65451 in exponential form is:

65451 = 31 × 218171

Now multiplying the highest exponent prime factors to calculate the LCM of 65440 and 65451.

LCM(65440,65451) = 25 × 51 × 4091 × 31 × 218171
LCM(65440,65451) = 4283113440