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What is the Least Common Multiple of 65440 and 65456?

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 65456 is 267715040.

LCM(65440,65456) = 267715040

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Least Common Multiple of 65440 and 65456 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 65456, than apply into the LCM equation.

GCF(65440,65456) = 16
LCM(65440,65456) = ( 65440 × 65456) / 16
LCM(65440,65456) = 4283440640 / 16
LCM(65440,65456) = 267715040

Least Common Multiple (LCM) of 65440 and 65456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65440 and 65456. First we will calculate the prime factors of 65440 and 65456.

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 65456

Prime factors of 65456 are 2, 4091. Prime factorization of 65456 in exponential form is:

65456 = 24 × 40911

Now multiplying the highest exponent prime factors to calculate the LCM of 65440 and 65456.

LCM(65440,65456) = 25 × 51 × 4091 × 40911
LCM(65440,65456) = 267715040