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What is the Least Common Multiple of 12414 and 12430?

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 12414 and 12430 is 77153010.

LCM(12414,12430) = 77153010

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Least Common Multiple of 12414 and 12430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12414 and 12430, than apply into the LCM equation.

GCF(12414,12430) = 2
LCM(12414,12430) = ( 12414 × 12430) / 2
LCM(12414,12430) = 154306020 / 2
LCM(12414,12430) = 77153010

Least Common Multiple (LCM) of 12414 and 12430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12414 and 12430. First we will calculate the prime factors of 12414 and 12430.

Prime Factorization of 12414

Prime factors of 12414 are 2, 3, 2069. Prime factorization of 12414 in exponential form is:

12414 = 21 × 31 × 20691

Prime Factorization of 12430

Prime factors of 12430 are 2, 5, 11, 113. Prime factorization of 12430 in exponential form is:

12430 = 21 × 51 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 12414 and 12430.

LCM(12414,12430) = 21 × 31 × 20691 × 51 × 111 × 1131
LCM(12414,12430) = 77153010