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What is the Least Common Multiple of 65908 and 65914?

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 65908 and 65914 is 2172129956.

LCM(65908,65914) = 2172129956

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Least Common Multiple of 65908 and 65914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65908 and 65914, than apply into the LCM equation.

GCF(65908,65914) = 2
LCM(65908,65914) = ( 65908 × 65914) / 2
LCM(65908,65914) = 4344259912 / 2
LCM(65908,65914) = 2172129956

Least Common Multiple (LCM) of 65908 and 65914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65908 and 65914. First we will calculate the prime factors of 65908 and 65914.

Prime Factorization of 65908

Prime factors of 65908 are 2, 16477. Prime factorization of 65908 in exponential form is:

65908 = 22 × 164771

Prime Factorization of 65914

Prime factors of 65914 are 2, 32957. Prime factorization of 65914 in exponential form is:

65914 = 21 × 329571

Now multiplying the highest exponent prime factors to calculate the LCM of 65908 and 65914.

LCM(65908,65914) = 22 × 164771 × 329571
LCM(65908,65914) = 2172129956