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What is the Least Common Multiple of 27424 and 27436?

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 27424 and 27436 is 188101216.

LCM(27424,27436) = 188101216

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Least Common Multiple of 27424 and 27436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27424 and 27436, than apply into the LCM equation.

GCF(27424,27436) = 4
LCM(27424,27436) = ( 27424 × 27436) / 4
LCM(27424,27436) = 752404864 / 4
LCM(27424,27436) = 188101216

Least Common Multiple (LCM) of 27424 and 27436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27424 and 27436. First we will calculate the prime factors of 27424 and 27436.

Prime Factorization of 27424

Prime factors of 27424 are 2, 857. Prime factorization of 27424 in exponential form is:

27424 = 25 × 8571

Prime Factorization of 27436

Prime factors of 27436 are 2, 19. Prime factorization of 27436 in exponential form is:

27436 = 22 × 193

Now multiplying the highest exponent prime factors to calculate the LCM of 27424 and 27436.

LCM(27424,27436) = 25 × 8571 × 193
LCM(27424,27436) = 188101216