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What is the Least Common Multiple of 27184 and 27190?

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 27184 and 27190 is 369566480.

LCM(27184,27190) = 369566480

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Least Common Multiple of 27184 and 27190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27184 and 27190, than apply into the LCM equation.

GCF(27184,27190) = 2
LCM(27184,27190) = ( 27184 × 27190) / 2
LCM(27184,27190) = 739132960 / 2
LCM(27184,27190) = 369566480

Least Common Multiple (LCM) of 27184 and 27190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27184 and 27190. First we will calculate the prime factors of 27184 and 27190.

Prime Factorization of 27184

Prime factors of 27184 are 2, 1699. Prime factorization of 27184 in exponential form is:

27184 = 24 × 16991

Prime Factorization of 27190

Prime factors of 27190 are 2, 5, 2719. Prime factorization of 27190 in exponential form is:

27190 = 21 × 51 × 27191

Now multiplying the highest exponent prime factors to calculate the LCM of 27184 and 27190.

LCM(27184,27190) = 24 × 16991 × 51 × 27191
LCM(27184,27190) = 369566480