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What is the Least Common Multiple of 11802 and 11817?

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 11802 and 11817 is 46488078.

LCM(11802,11817) = 46488078

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Least Common Multiple of 11802 and 11817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11802 and 11817, than apply into the LCM equation.

GCF(11802,11817) = 3
LCM(11802,11817) = ( 11802 × 11817) / 3
LCM(11802,11817) = 139464234 / 3
LCM(11802,11817) = 46488078

Least Common Multiple (LCM) of 11802 and 11817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11802 and 11817. First we will calculate the prime factors of 11802 and 11817.

Prime Factorization of 11802

Prime factors of 11802 are 2, 3, 7, 281. Prime factorization of 11802 in exponential form is:

11802 = 21 × 31 × 71 × 2811

Prime Factorization of 11817

Prime factors of 11817 are 3, 13, 101. Prime factorization of 11817 in exponential form is:

11817 = 32 × 131 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 11802 and 11817.

LCM(11802,11817) = 21 × 32 × 71 × 2811 × 131 × 1011
LCM(11802,11817) = 46488078