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What is the Least Common Multiple of 65440 and 65453?

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 65453 is 4283244320.

LCM(65440,65453) = 4283244320

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Least Common Multiple of 65440 and 65453 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 65453, than apply into the LCM equation.

GCF(65440,65453) = 1
LCM(65440,65453) = ( 65440 × 65453) / 1
LCM(65440,65453) = 4283244320 / 1
LCM(65440,65453) = 4283244320

Least Common Multiple (LCM) of 65440 and 65453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65440 and 65453. First we will calculate the prime factors of 65440 and 65453.

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 65453

Prime factors of 65453 are 29, 37, 61. Prime factorization of 65453 in exponential form is:

65453 = 291 × 371 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 65440 and 65453.

LCM(65440,65453) = 25 × 51 × 4091 × 291 × 371 × 611
LCM(65440,65453) = 4283244320