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What is the Least Common Multiple of 65104 and 65117?

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 65104 and 65117 is 326105936.

LCM(65104,65117) = 326105936

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Least Common Multiple of 65104 and 65117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65104 and 65117, than apply into the LCM equation.

GCF(65104,65117) = 13
LCM(65104,65117) = ( 65104 × 65117) / 13
LCM(65104,65117) = 4239377168 / 13
LCM(65104,65117) = 326105936

Least Common Multiple (LCM) of 65104 and 65117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65104 and 65117. First we will calculate the prime factors of 65104 and 65117.

Prime Factorization of 65104

Prime factors of 65104 are 2, 13, 313. Prime factorization of 65104 in exponential form is:

65104 = 24 × 131 × 3131

Prime Factorization of 65117

Prime factors of 65117 are 13, 5009. Prime factorization of 65117 in exponential form is:

65117 = 131 × 50091

Now multiplying the highest exponent prime factors to calculate the LCM of 65104 and 65117.

LCM(65104,65117) = 24 × 131 × 3131 × 50091
LCM(65104,65117) = 326105936