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What is the Least Common Multiple of 5030 and 5039?

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 5030 and 5039 is 25346170.

LCM(5030,5039) = 25346170

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Least Common Multiple of 5030 and 5039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5030 and 5039, than apply into the LCM equation.

GCF(5030,5039) = 1
LCM(5030,5039) = ( 5030 × 5039) / 1
LCM(5030,5039) = 25346170 / 1
LCM(5030,5039) = 25346170

Least Common Multiple (LCM) of 5030 and 5039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5030 and 5039. First we will calculate the prime factors of 5030 and 5039.

Prime Factorization of 5030

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

5030 = 21 × 51 × 5031

Prime Factorization of 5039

Prime factors of 5039 are 5039. Prime factorization of 5039 in exponential form is:

5039 = 50391

Now multiplying the highest exponent prime factors to calculate the LCM of 5030 and 5039.

LCM(5030,5039) = 21 × 51 × 5031 × 50391
LCM(5030,5039) = 25346170