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What is the Least Common Multiple of 50026 and 50037?

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 50026 and 50037 is 2503150962.

LCM(50026,50037) = 2503150962

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Least Common Multiple of 50026 and 50037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50026 and 50037, than apply into the LCM equation.

GCF(50026,50037) = 1
LCM(50026,50037) = ( 50026 × 50037) / 1
LCM(50026,50037) = 2503150962 / 1
LCM(50026,50037) = 2503150962

Least Common Multiple (LCM) of 50026 and 50037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50026 and 50037. First we will calculate the prime factors of 50026 and 50037.

Prime Factorization of 50026

Prime factors of 50026 are 2, 25013. Prime factorization of 50026 in exponential form is:

50026 = 21 × 250131

Prime Factorization of 50037

Prime factors of 50037 are 3, 13, 1283. Prime factorization of 50037 in exponential form is:

50037 = 31 × 131 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 50026 and 50037.

LCM(50026,50037) = 21 × 250131 × 31 × 131 × 12831
LCM(50026,50037) = 2503150962