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What is the Least Common Multiple of 50147 and 50162?

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 50147 and 50162 is 2515473814.

LCM(50147,50162) = 2515473814

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Least Common Multiple of 50147 and 50162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50147 and 50162, than apply into the LCM equation.

GCF(50147,50162) = 1
LCM(50147,50162) = ( 50147 × 50162) / 1
LCM(50147,50162) = 2515473814 / 1
LCM(50147,50162) = 2515473814

Least Common Multiple (LCM) of 50147 and 50162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50147 and 50162. First we will calculate the prime factors of 50147 and 50162.

Prime Factorization of 50147

Prime factors of 50147 are 50147. Prime factorization of 50147 in exponential form is:

50147 = 501471

Prime Factorization of 50162

Prime factors of 50162 are 2, 7, 3583. Prime factorization of 50162 in exponential form is:

50162 = 21 × 71 × 35831

Now multiplying the highest exponent prime factors to calculate the LCM of 50147 and 50162.

LCM(50147,50162) = 501471 × 21 × 71 × 35831
LCM(50147,50162) = 2515473814