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What is the Least Common Multiple of 50417 and 50423?

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 50417 and 50423 is 2542176391.

LCM(50417,50423) = 2542176391

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Least Common Multiple of 50417 and 50423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50417 and 50423, than apply into the LCM equation.

GCF(50417,50423) = 1
LCM(50417,50423) = ( 50417 × 50423) / 1
LCM(50417,50423) = 2542176391 / 1
LCM(50417,50423) = 2542176391

Least Common Multiple (LCM) of 50417 and 50423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50417 and 50423. First we will calculate the prime factors of 50417 and 50423.

Prime Factorization of 50417

Prime factors of 50417 are 50417. Prime factorization of 50417 in exponential form is:

50417 = 504171

Prime Factorization of 50423

Prime factors of 50423 are 50423. Prime factorization of 50423 in exponential form is:

50423 = 504231

Now multiplying the highest exponent prime factors to calculate the LCM of 50417 and 50423.

LCM(50417,50423) = 504171 × 504231
LCM(50417,50423) = 2542176391