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What is the Least Common Multiple of 65548 and 65565?

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 65548 and 65565 is 4297654620.

LCM(65548,65565) = 4297654620

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Least Common Multiple of 65548 and 65565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65548 and 65565, than apply into the LCM equation.

GCF(65548,65565) = 1
LCM(65548,65565) = ( 65548 × 65565) / 1
LCM(65548,65565) = 4297654620 / 1
LCM(65548,65565) = 4297654620

Least Common Multiple (LCM) of 65548 and 65565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65548 and 65565. First we will calculate the prime factors of 65548 and 65565.

Prime Factorization of 65548

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

65548 = 22 × 71 × 23411

Prime Factorization of 65565

Prime factors of 65565 are 3, 5, 31, 47. Prime factorization of 65565 in exponential form is:

65565 = 32 × 51 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 65548 and 65565.

LCM(65548,65565) = 22 × 71 × 23411 × 32 × 51 × 311 × 471
LCM(65548,65565) = 4297654620