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What is the Least Common Multiple of 12416 and 12424?

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 12416 and 12424 is 19282048.

LCM(12416,12424) = 19282048

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Least Common Multiple of 12416 and 12424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12416 and 12424, than apply into the LCM equation.

GCF(12416,12424) = 8
LCM(12416,12424) = ( 12416 × 12424) / 8
LCM(12416,12424) = 154256384 / 8
LCM(12416,12424) = 19282048

Least Common Multiple (LCM) of 12416 and 12424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12416 and 12424. First we will calculate the prime factors of 12416 and 12424.

Prime Factorization of 12416

Prime factors of 12416 are 2, 97. Prime factorization of 12416 in exponential form is:

12416 = 27 × 971

Prime Factorization of 12424

Prime factors of 12424 are 2, 1553. Prime factorization of 12424 in exponential form is:

12424 = 23 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 12416 and 12424.

LCM(12416,12424) = 27 × 971 × 15531
LCM(12416,12424) = 19282048