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What is the Least Common Multiple of 65935 and 65949?

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 65935 and 65949 is 4348347315.

LCM(65935,65949) = 4348347315

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Least Common Multiple of 65935 and 65949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65935 and 65949, than apply into the LCM equation.

GCF(65935,65949) = 1
LCM(65935,65949) = ( 65935 × 65949) / 1
LCM(65935,65949) = 4348347315 / 1
LCM(65935,65949) = 4348347315

Least Common Multiple (LCM) of 65935 and 65949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65935 and 65949. First we will calculate the prime factors of 65935 and 65949.

Prime Factorization of 65935

Prime factors of 65935 are 5, 13187. Prime factorization of 65935 in exponential form is:

65935 = 51 × 131871

Prime Factorization of 65949

Prime factors of 65949 are 3, 13, 19, 89. Prime factorization of 65949 in exponential form is:

65949 = 31 × 131 × 191 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 65935 and 65949.

LCM(65935,65949) = 51 × 131871 × 31 × 131 × 191 × 891
LCM(65935,65949) = 4348347315