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What is the Least Common Multiple of 50503 and 50507?

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 50503 and 50507 is 2550755021.

LCM(50503,50507) = 2550755021

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Least Common Multiple of 50503 and 50507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50503 and 50507, than apply into the LCM equation.

GCF(50503,50507) = 1
LCM(50503,50507) = ( 50503 × 50507) / 1
LCM(50503,50507) = 2550755021 / 1
LCM(50503,50507) = 2550755021

Least Common Multiple (LCM) of 50503 and 50507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50503 and 50507. First we will calculate the prime factors of 50503 and 50507.

Prime Factorization of 50503

Prime factors of 50503 are 50503. Prime factorization of 50503 in exponential form is:

50503 = 505031

Prime Factorization of 50507

Prime factors of 50507 are 17, 2971. Prime factorization of 50507 in exponential form is:

50507 = 171 × 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 50503 and 50507.

LCM(50503,50507) = 505031 × 171 × 29711
LCM(50503,50507) = 2550755021