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What is the Least Common Multiple of 57266 and 57279?

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 57266 and 57279 is 3280139214.

LCM(57266,57279) = 3280139214

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Least Common Multiple of 57266 and 57279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57266 and 57279, than apply into the LCM equation.

GCF(57266,57279) = 1
LCM(57266,57279) = ( 57266 × 57279) / 1
LCM(57266,57279) = 3280139214 / 1
LCM(57266,57279) = 3280139214

Least Common Multiple (LCM) of 57266 and 57279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57266 and 57279. First we will calculate the prime factors of 57266 and 57279.

Prime Factorization of 57266

Prime factors of 57266 are 2, 11, 19, 137. Prime factorization of 57266 in exponential form is:

57266 = 21 × 111 × 191 × 1371

Prime Factorization of 57279

Prime factors of 57279 are 3, 61, 313. Prime factorization of 57279 in exponential form is:

57279 = 31 × 611 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 57266 and 57279.

LCM(57266,57279) = 21 × 111 × 191 × 1371 × 31 × 611 × 3131
LCM(57266,57279) = 3280139214