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What is the Least Common Multiple of 50476 and 50482?

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 50476 and 50482 is 1274064716.

LCM(50476,50482) = 1274064716

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Least Common Multiple of 50476 and 50482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50476 and 50482, than apply into the LCM equation.

GCF(50476,50482) = 2
LCM(50476,50482) = ( 50476 × 50482) / 2
LCM(50476,50482) = 2548129432 / 2
LCM(50476,50482) = 1274064716

Least Common Multiple (LCM) of 50476 and 50482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50476 and 50482. First we will calculate the prime factors of 50476 and 50482.

Prime Factorization of 50476

Prime factors of 50476 are 2, 12619. Prime factorization of 50476 in exponential form is:

50476 = 22 × 126191

Prime Factorization of 50482

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

50482 = 21 × 431 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 50476 and 50482.

LCM(50476,50482) = 22 × 126191 × 431 × 5871
LCM(50476,50482) = 1274064716