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What is the Least Common Multiple of 4996 and 5011?

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 4996 and 5011 is 25034956.

LCM(4996,5011) = 25034956

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Least Common Multiple of 4996 and 5011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4996 and 5011, than apply into the LCM equation.

GCF(4996,5011) = 1
LCM(4996,5011) = ( 4996 × 5011) / 1
LCM(4996,5011) = 25034956 / 1
LCM(4996,5011) = 25034956

Least Common Multiple (LCM) of 4996 and 5011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4996 and 5011. First we will calculate the prime factors of 4996 and 5011.

Prime Factorization of 4996

Prime factors of 4996 are 2, 1249. Prime factorization of 4996 in exponential form is:

4996 = 22 × 12491

Prime Factorization of 5011

Prime factors of 5011 are 5011. Prime factorization of 5011 in exponential form is:

5011 = 50111

Now multiplying the highest exponent prime factors to calculate the LCM of 4996 and 5011.

LCM(4996,5011) = 22 × 12491 × 50111
LCM(4996,5011) = 25034956