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What is the Least Common Multiple of 14022 and 14042?

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 14022 and 14042 is 98448462.

LCM(14022,14042) = 98448462

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Least Common Multiple of 14022 and 14042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14022 and 14042, than apply into the LCM equation.

GCF(14022,14042) = 2
LCM(14022,14042) = ( 14022 × 14042) / 2
LCM(14022,14042) = 196896924 / 2
LCM(14022,14042) = 98448462

Least Common Multiple (LCM) of 14022 and 14042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14022 and 14042. First we will calculate the prime factors of 14022 and 14042.

Prime Factorization of 14022

Prime factors of 14022 are 2, 3, 19, 41. Prime factorization of 14022 in exponential form is:

14022 = 21 × 32 × 191 × 411

Prime Factorization of 14042

Prime factors of 14042 are 2, 7, 17, 59. Prime factorization of 14042 in exponential form is:

14042 = 21 × 71 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 14022 and 14042.

LCM(14022,14042) = 21 × 32 × 191 × 411 × 71 × 171 × 591
LCM(14022,14042) = 98448462