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What is the Least Common Multiple of 57278 and 57294?

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 57278 and 57294 is 1640842866.

LCM(57278,57294) = 1640842866

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Least Common Multiple of 57278 and 57294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57278 and 57294, than apply into the LCM equation.

GCF(57278,57294) = 2
LCM(57278,57294) = ( 57278 × 57294) / 2
LCM(57278,57294) = 3281685732 / 2
LCM(57278,57294) = 1640842866

Least Common Multiple (LCM) of 57278 and 57294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57278 and 57294. First we will calculate the prime factors of 57278 and 57294.

Prime Factorization of 57278

Prime factors of 57278 are 2, 13, 2203. Prime factorization of 57278 in exponential form is:

57278 = 21 × 131 × 22031

Prime Factorization of 57294

Prime factors of 57294 are 2, 3, 1061. Prime factorization of 57294 in exponential form is:

57294 = 21 × 33 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 57278 and 57294.

LCM(57278,57294) = 21 × 131 × 22031 × 33 × 10611
LCM(57278,57294) = 1640842866