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What is the Least Common Multiple of 27424 and 27444?

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 27444 is 188156064.

LCM(27424,27444) = 188156064

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Least Common Multiple of 27424 and 27444 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 27444, than apply into the LCM equation.

GCF(27424,27444) = 4
LCM(27424,27444) = ( 27424 × 27444) / 4
LCM(27424,27444) = 752624256 / 4
LCM(27424,27444) = 188156064

Least Common Multiple (LCM) of 27424 and 27444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27424 and 27444. First we will calculate the prime factors of 27424 and 27444.

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 27444

Prime factors of 27444 are 2, 3, 2287. Prime factorization of 27444 in exponential form is:

27444 = 22 × 31 × 22871

Now multiplying the highest exponent prime factors to calculate the LCM of 27424 and 27444.

LCM(27424,27444) = 25 × 8571 × 31 × 22871
LCM(27424,27444) = 188156064