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What is the Least Common Multiple of 57339 and 57350?

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 57339 and 57350 is 3288391650.

LCM(57339,57350) = 3288391650

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Least Common Multiple of 57339 and 57350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57339 and 57350, than apply into the LCM equation.

GCF(57339,57350) = 1
LCM(57339,57350) = ( 57339 × 57350) / 1
LCM(57339,57350) = 3288391650 / 1
LCM(57339,57350) = 3288391650

Least Common Multiple (LCM) of 57339 and 57350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57339 and 57350. First we will calculate the prime factors of 57339 and 57350.

Prime Factorization of 57339

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

57339 = 32 × 231 × 2771

Prime Factorization of 57350

Prime factors of 57350 are 2, 5, 31, 37. Prime factorization of 57350 in exponential form is:

57350 = 21 × 52 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 57339 and 57350.

LCM(57339,57350) = 32 × 231 × 2771 × 21 × 52 × 311 × 371
LCM(57339,57350) = 3288391650