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What is the Least Common Multiple of 57258 and 57268?

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 57258 and 57268 is 1639525572.

LCM(57258,57268) = 1639525572

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Least Common Multiple of 57258 and 57268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57258 and 57268, than apply into the LCM equation.

GCF(57258,57268) = 2
LCM(57258,57268) = ( 57258 × 57268) / 2
LCM(57258,57268) = 3279051144 / 2
LCM(57258,57268) = 1639525572

Least Common Multiple (LCM) of 57258 and 57268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57258 and 57268. First we will calculate the prime factors of 57258 and 57268.

Prime Factorization of 57258

Prime factors of 57258 are 2, 3, 3181. Prime factorization of 57258 in exponential form is:

57258 = 21 × 32 × 31811

Prime Factorization of 57268

Prime factors of 57268 are 2, 103, 139. Prime factorization of 57268 in exponential form is:

57268 = 22 × 1031 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 57258 and 57268.

LCM(57258,57268) = 22 × 32 × 31811 × 1031 × 1391
LCM(57258,57268) = 1639525572