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What is the Least Common Multiple of 14010 and 14026?

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 14010 and 14026 is 98252130.

LCM(14010,14026) = 98252130

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Least Common Multiple of 14010 and 14026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14010 and 14026, than apply into the LCM equation.

GCF(14010,14026) = 2
LCM(14010,14026) = ( 14010 × 14026) / 2
LCM(14010,14026) = 196504260 / 2
LCM(14010,14026) = 98252130

Least Common Multiple (LCM) of 14010 and 14026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14010 and 14026. First we will calculate the prime factors of 14010 and 14026.

Prime Factorization of 14010

Prime factors of 14010 are 2, 3, 5, 467. Prime factorization of 14010 in exponential form is:

14010 = 21 × 31 × 51 × 4671

Prime Factorization of 14026

Prime factors of 14026 are 2, 7013. Prime factorization of 14026 in exponential form is:

14026 = 21 × 70131

Now multiplying the highest exponent prime factors to calculate the LCM of 14010 and 14026.

LCM(14010,14026) = 21 × 31 × 51 × 4671 × 70131
LCM(14010,14026) = 98252130