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What is the Least Common Multiple of 5002 and 5021?

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 5002 and 5021 is 25115042.

LCM(5002,5021) = 25115042

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Least Common Multiple of 5002 and 5021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5002 and 5021, than apply into the LCM equation.

GCF(5002,5021) = 1
LCM(5002,5021) = ( 5002 × 5021) / 1
LCM(5002,5021) = 25115042 / 1
LCM(5002,5021) = 25115042

Least Common Multiple (LCM) of 5002 and 5021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5002 and 5021. First we will calculate the prime factors of 5002 and 5021.

Prime Factorization of 5002

Prime factors of 5002 are 2, 41, 61. Prime factorization of 5002 in exponential form is:

5002 = 21 × 411 × 611

Prime Factorization of 5021

Prime factors of 5021 are 5021. Prime factorization of 5021 in exponential form is:

5021 = 50211

Now multiplying the highest exponent prime factors to calculate the LCM of 5002 and 5021.

LCM(5002,5021) = 21 × 411 × 611 × 50211
LCM(5002,5021) = 25115042