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What is the Least Common Multiple of 65534 and 65549?

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 65534 and 65549 is 4295688166.

LCM(65534,65549) = 4295688166

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Least Common Multiple of 65534 and 65549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65534 and 65549, than apply into the LCM equation.

GCF(65534,65549) = 1
LCM(65534,65549) = ( 65534 × 65549) / 1
LCM(65534,65549) = 4295688166 / 1
LCM(65534,65549) = 4295688166

Least Common Multiple (LCM) of 65534 and 65549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65534 and 65549. First we will calculate the prime factors of 65534 and 65549.

Prime Factorization of 65534

Prime factors of 65534 are 2, 7, 31, 151. Prime factorization of 65534 in exponential form is:

65534 = 21 × 71 × 311 × 1511

Prime Factorization of 65549

Prime factors of 65549 are 11, 59, 101. Prime factorization of 65549 in exponential form is:

65549 = 111 × 591 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 65534 and 65549.

LCM(65534,65549) = 21 × 71 × 311 × 1511 × 111 × 591 × 1011
LCM(65534,65549) = 4295688166