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What is the Least Common Multiple of 50482 and 50495?

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 50482 and 50495 is 2549088590.

LCM(50482,50495) = 2549088590

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Least Common Multiple of 50482 and 50495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50482 and 50495, than apply into the LCM equation.

GCF(50482,50495) = 1
LCM(50482,50495) = ( 50482 × 50495) / 1
LCM(50482,50495) = 2549088590 / 1
LCM(50482,50495) = 2549088590

Least Common Multiple (LCM) of 50482 and 50495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50482 and 50495. First we will calculate the prime factors of 50482 and 50495.

Prime Factorization of 50482

Prime factors of 50482 are 2, 43, 587. Prime factorization of 50482 in exponential form is:

50482 = 21 × 431 × 5871

Prime Factorization of 50495

Prime factors of 50495 are 5, 10099. Prime factorization of 50495 in exponential form is:

50495 = 51 × 100991

Now multiplying the highest exponent prime factors to calculate the LCM of 50482 and 50495.

LCM(50482,50495) = 21 × 431 × 5871 × 51 × 100991
LCM(50482,50495) = 2549088590