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What is the Least Common Multiple of 57334 and 57339?

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 57334 and 57339 is 3287474226.

LCM(57334,57339) = 3287474226

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Least Common Multiple of 57334 and 57339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57334 and 57339, than apply into the LCM equation.

GCF(57334,57339) = 1
LCM(57334,57339) = ( 57334 × 57339) / 1
LCM(57334,57339) = 3287474226 / 1
LCM(57334,57339) = 3287474226

Least Common Multiple (LCM) of 57334 and 57339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57334 and 57339. First we will calculate the prime factors of 57334 and 57339.

Prime Factorization of 57334

Prime factors of 57334 are 2, 109, 263. Prime factorization of 57334 in exponential form is:

57334 = 21 × 1091 × 2631

Prime Factorization of 57339

Prime factors of 57339 are 3, 23, 277. Prime factorization of 57339 in exponential form is:

57339 = 32 × 231 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 57334 and 57339.

LCM(57334,57339) = 21 × 1091 × 2631 × 32 × 231 × 2771
LCM(57334,57339) = 3287474226