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What is the Least Common Multiple of 65536 and 65548?

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 65536 and 65548 is 1073938432.

LCM(65536,65548) = 1073938432

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Least Common Multiple of 65536 and 65548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65536 and 65548, than apply into the LCM equation.

GCF(65536,65548) = 4
LCM(65536,65548) = ( 65536 × 65548) / 4
LCM(65536,65548) = 4295753728 / 4
LCM(65536,65548) = 1073938432

Least Common Multiple (LCM) of 65536 and 65548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65536 and 65548. First we will calculate the prime factors of 65536 and 65548.

Prime Factorization of 65536

Prime factors of 65536 are 2. Prime factorization of 65536 in exponential form is:

65536 = 216

Prime Factorization of 65548

Prime factors of 65548 are 2, 7, 2341. Prime factorization of 65548 in exponential form is:

65548 = 22 × 71 × 23411

Now multiplying the highest exponent prime factors to calculate the LCM of 65536 and 65548.

LCM(65536,65548) = 216 × 71 × 23411
LCM(65536,65548) = 1073938432