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What is the Least Common Multiple of 57184 and 57195?

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 57184 and 57195 is 3270638880.

LCM(57184,57195) = 3270638880

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Least Common Multiple of 57184 and 57195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57184 and 57195, than apply into the LCM equation.

GCF(57184,57195) = 1
LCM(57184,57195) = ( 57184 × 57195) / 1
LCM(57184,57195) = 3270638880 / 1
LCM(57184,57195) = 3270638880

Least Common Multiple (LCM) of 57184 and 57195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57184 and 57195. First we will calculate the prime factors of 57184 and 57195.

Prime Factorization of 57184

Prime factors of 57184 are 2, 1787. Prime factorization of 57184 in exponential form is:

57184 = 25 × 17871

Prime Factorization of 57195

Prime factors of 57195 are 3, 5, 31, 41. Prime factorization of 57195 in exponential form is:

57195 = 32 × 51 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 57184 and 57195.

LCM(57184,57195) = 25 × 17871 × 32 × 51 × 311 × 411
LCM(57184,57195) = 3270638880