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What is the Least Common Multiple of 5010 and 5014?

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 5014 is 12560070.

LCM(5010,5014) = 12560070

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Least Common Multiple of 5010 and 5014 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 5014, than apply into the LCM equation.

GCF(5010,5014) = 2
LCM(5010,5014) = ( 5010 × 5014) / 2
LCM(5010,5014) = 25120140 / 2
LCM(5010,5014) = 12560070

Least Common Multiple (LCM) of 5010 and 5014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5010 and 5014. First we will calculate the prime factors of 5010 and 5014.

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 5014

Prime factors of 5014 are 2, 23, 109. Prime factorization of 5014 in exponential form is:

5014 = 21 × 231 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5010 and 5014.

LCM(5010,5014) = 21 × 31 × 51 × 1671 × 231 × 1091
LCM(5010,5014) = 12560070