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What is the Least Common Multiple of 5010 and 5016?

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 5010 and 5016 is 4188360.

LCM(5010,5016) = 4188360

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Least Common Multiple of 5010 and 5016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5010 and 5016, than apply into the LCM equation.

GCF(5010,5016) = 6
LCM(5010,5016) = ( 5010 × 5016) / 6
LCM(5010,5016) = 25130160 / 6
LCM(5010,5016) = 4188360

Least Common Multiple (LCM) of 5010 and 5016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5010 and 5016. First we will calculate the prime factors of 5010 and 5016.

Prime Factorization of 5010

Prime factors of 5010 are 2, 3, 5, 167. Prime factorization of 5010 in exponential form is:

5010 = 21 × 31 × 51 × 1671

Prime Factorization of 5016

Prime factors of 5016 are 2, 3, 11, 19. Prime factorization of 5016 in exponential form is:

5016 = 23 × 31 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 5010 and 5016.

LCM(5010,5016) = 23 × 31 × 51 × 1671 × 111 × 191
LCM(5010,5016) = 4188360