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What is the Least Common Multiple of 14012 and 14030?

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 14012 and 14030 is 98294180.

LCM(14012,14030) = 98294180

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Least Common Multiple of 14012 and 14030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14012 and 14030, than apply into the LCM equation.

GCF(14012,14030) = 2
LCM(14012,14030) = ( 14012 × 14030) / 2
LCM(14012,14030) = 196588360 / 2
LCM(14012,14030) = 98294180

Least Common Multiple (LCM) of 14012 and 14030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14012 and 14030. First we will calculate the prime factors of 14012 and 14030.

Prime Factorization of 14012

Prime factors of 14012 are 2, 31, 113. Prime factorization of 14012 in exponential form is:

14012 = 22 × 311 × 1131

Prime Factorization of 14030

Prime factors of 14030 are 2, 5, 23, 61. Prime factorization of 14030 in exponential form is:

14030 = 21 × 51 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 14012 and 14030.

LCM(14012,14030) = 22 × 311 × 1131 × 51 × 231 × 611
LCM(14012,14030) = 98294180