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What is the Least Common Multiple of 48409 and 48417?

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 48409 and 48417 is 2343818553.

LCM(48409,48417) = 2343818553

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Least Common Multiple of 48409 and 48417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48409 and 48417, than apply into the LCM equation.

GCF(48409,48417) = 1
LCM(48409,48417) = ( 48409 × 48417) / 1
LCM(48409,48417) = 2343818553 / 1
LCM(48409,48417) = 2343818553

Least Common Multiple (LCM) of 48409 and 48417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48409 and 48417. First we will calculate the prime factors of 48409 and 48417.

Prime Factorization of 48409

Prime factors of 48409 are 48409. Prime factorization of 48409 in exponential form is:

48409 = 484091

Prime Factorization of 48417

Prime factors of 48417 are 3, 16139. Prime factorization of 48417 in exponential form is:

48417 = 31 × 161391

Now multiplying the highest exponent prime factors to calculate the LCM of 48409 and 48417.

LCM(48409,48417) = 484091 × 31 × 161391
LCM(48409,48417) = 2343818553