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What is the Least Common Multiple of 26412 and 26424?

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 26412 and 26424 is 58159224.

LCM(26412,26424) = 58159224

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Least Common Multiple of 26412 and 26424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26412 and 26424, than apply into the LCM equation.

GCF(26412,26424) = 12
LCM(26412,26424) = ( 26412 × 26424) / 12
LCM(26412,26424) = 697910688 / 12
LCM(26412,26424) = 58159224

Least Common Multiple (LCM) of 26412 and 26424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26412 and 26424. First we will calculate the prime factors of 26412 and 26424.

Prime Factorization of 26412

Prime factors of 26412 are 2, 3, 31, 71. Prime factorization of 26412 in exponential form is:

26412 = 22 × 31 × 311 × 711

Prime Factorization of 26424

Prime factors of 26424 are 2, 3, 367. Prime factorization of 26424 in exponential form is:

26424 = 23 × 32 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 26412 and 26424.

LCM(26412,26424) = 23 × 32 × 311 × 711 × 3671
LCM(26412,26424) = 58159224