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What is the Least Common Multiple of 57055 and 57073?

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 57055 and 57073 is 3256300015.

LCM(57055,57073) = 3256300015

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Least Common Multiple of 57055 and 57073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57055 and 57073, than apply into the LCM equation.

GCF(57055,57073) = 1
LCM(57055,57073) = ( 57055 × 57073) / 1
LCM(57055,57073) = 3256300015 / 1
LCM(57055,57073) = 3256300015

Least Common Multiple (LCM) of 57055 and 57073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57055 and 57073. First we will calculate the prime factors of 57055 and 57073.

Prime Factorization of 57055

Prime factors of 57055 are 5, 11411. Prime factorization of 57055 in exponential form is:

57055 = 51 × 114111

Prime Factorization of 57073

Prime factors of 57073 are 57073. Prime factorization of 57073 in exponential form is:

57073 = 570731

Now multiplying the highest exponent prime factors to calculate the LCM of 57055 and 57073.

LCM(57055,57073) = 51 × 114111 × 570731
LCM(57055,57073) = 3256300015