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What is the Least Common Multiple of 57205 and 57219?

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 57205 and 57219 is 3273212895.

LCM(57205,57219) = 3273212895

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Least Common Multiple of 57205 and 57219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57205 and 57219, than apply into the LCM equation.

GCF(57205,57219) = 1
LCM(57205,57219) = ( 57205 × 57219) / 1
LCM(57205,57219) = 3273212895 / 1
LCM(57205,57219) = 3273212895

Least Common Multiple (LCM) of 57205 and 57219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57205 and 57219. First we will calculate the prime factors of 57205 and 57219.

Prime Factorization of 57205

Prime factors of 57205 are 5, 17, 673. Prime factorization of 57205 in exponential form is:

57205 = 51 × 171 × 6731

Prime Factorization of 57219

Prime factors of 57219 are 3, 19073. Prime factorization of 57219 in exponential form is:

57219 = 31 × 190731

Now multiplying the highest exponent prime factors to calculate the LCM of 57205 and 57219.

LCM(57205,57219) = 51 × 171 × 6731 × 31 × 190731
LCM(57205,57219) = 3273212895