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What is the Least Common Multiple of 14010 and 14024?

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 14024 is 98238120.

LCM(14010,14024) = 98238120

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Least Common Multiple of 14010 and 14024 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 14024, than apply into the LCM equation.

GCF(14010,14024) = 2
LCM(14010,14024) = ( 14010 × 14024) / 2
LCM(14010,14024) = 196476240 / 2
LCM(14010,14024) = 98238120

Least Common Multiple (LCM) of 14010 and 14024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14010 and 14024. First we will calculate the prime factors of 14010 and 14024.

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 14024

Prime factors of 14024 are 2, 1753. Prime factorization of 14024 in exponential form is:

14024 = 23 × 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 14010 and 14024.

LCM(14010,14024) = 23 × 31 × 51 × 4671 × 17531
LCM(14010,14024) = 98238120