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What is the Least Common Multiple of 4997 and 5002?

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 4997 and 5002 is 24994994.

LCM(4997,5002) = 24994994

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Least Common Multiple of 4997 and 5002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4997 and 5002, than apply into the LCM equation.

GCF(4997,5002) = 1
LCM(4997,5002) = ( 4997 × 5002) / 1
LCM(4997,5002) = 24994994 / 1
LCM(4997,5002) = 24994994

Least Common Multiple (LCM) of 4997 and 5002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4997 and 5002. First we will calculate the prime factors of 4997 and 5002.

Prime Factorization of 4997

Prime factors of 4997 are 19, 263. Prime factorization of 4997 in exponential form is:

4997 = 191 × 2631

Prime Factorization of 5002

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

5002 = 21 × 411 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 4997 and 5002.

LCM(4997,5002) = 191 × 2631 × 21 × 411 × 611
LCM(4997,5002) = 24994994