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What is the Least Common Multiple of 5023 and 5030?

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 5023 and 5030 is 25265690.

LCM(5023,5030) = 25265690

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Least Common Multiple of 5023 and 5030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5023 and 5030, than apply into the LCM equation.

GCF(5023,5030) = 1
LCM(5023,5030) = ( 5023 × 5030) / 1
LCM(5023,5030) = 25265690 / 1
LCM(5023,5030) = 25265690

Least Common Multiple (LCM) of 5023 and 5030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5023 and 5030. First we will calculate the prime factors of 5023 and 5030.

Prime Factorization of 5023

Prime factors of 5023 are 5023. Prime factorization of 5023 in exponential form is:

5023 = 50231

Prime Factorization of 5030

Prime factors of 5030 are 2, 5, 503. Prime factorization of 5030 in exponential form is:

5030 = 21 × 51 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 5023 and 5030.

LCM(5023,5030) = 50231 × 21 × 51 × 5031
LCM(5023,5030) = 25265690