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What is the Least Common Multiple of 50224 and 50231?

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 50224 and 50231 is 2522801744.

LCM(50224,50231) = 2522801744

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Least Common Multiple of 50224 and 50231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50224 and 50231, than apply into the LCM equation.

GCF(50224,50231) = 1
LCM(50224,50231) = ( 50224 × 50231) / 1
LCM(50224,50231) = 2522801744 / 1
LCM(50224,50231) = 2522801744

Least Common Multiple (LCM) of 50224 and 50231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50224 and 50231. First we will calculate the prime factors of 50224 and 50231.

Prime Factorization of 50224

Prime factors of 50224 are 2, 43, 73. Prime factorization of 50224 in exponential form is:

50224 = 24 × 431 × 731

Prime Factorization of 50231

Prime factors of 50231 are 50231. Prime factorization of 50231 in exponential form is:

50231 = 502311

Now multiplying the highest exponent prime factors to calculate the LCM of 50224 and 50231.

LCM(50224,50231) = 24 × 431 × 731 × 502311
LCM(50224,50231) = 2522801744