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What is the Least Common Multiple of 57310 and 57318?

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 57310 and 57318 is 1642447290.

LCM(57310,57318) = 1642447290

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Least Common Multiple of 57310 and 57318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57310 and 57318, than apply into the LCM equation.

GCF(57310,57318) = 2
LCM(57310,57318) = ( 57310 × 57318) / 2
LCM(57310,57318) = 3284894580 / 2
LCM(57310,57318) = 1642447290

Least Common Multiple (LCM) of 57310 and 57318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57310 and 57318. First we will calculate the prime factors of 57310 and 57318.

Prime Factorization of 57310

Prime factors of 57310 are 2, 5, 11, 521. Prime factorization of 57310 in exponential form is:

57310 = 21 × 51 × 111 × 5211

Prime Factorization of 57318

Prime factors of 57318 are 2, 3, 41, 233. Prime factorization of 57318 in exponential form is:

57318 = 21 × 31 × 411 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 57310 and 57318.

LCM(57310,57318) = 21 × 51 × 111 × 5211 × 31 × 411 × 2331
LCM(57310,57318) = 1642447290