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What is the Least Common Multiple of 57285 and 57292?

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 57285 and 57292 is 3281972220.

LCM(57285,57292) = 3281972220

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Least Common Multiple of 57285 and 57292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57285 and 57292, than apply into the LCM equation.

GCF(57285,57292) = 1
LCM(57285,57292) = ( 57285 × 57292) / 1
LCM(57285,57292) = 3281972220 / 1
LCM(57285,57292) = 3281972220

Least Common Multiple (LCM) of 57285 and 57292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57285 and 57292. First we will calculate the prime factors of 57285 and 57292.

Prime Factorization of 57285

Prime factors of 57285 are 3, 5, 19, 67. Prime factorization of 57285 in exponential form is:

57285 = 32 × 51 × 191 × 671

Prime Factorization of 57292

Prime factors of 57292 are 2, 14323. Prime factorization of 57292 in exponential form is:

57292 = 22 × 143231

Now multiplying the highest exponent prime factors to calculate the LCM of 57285 and 57292.

LCM(57285,57292) = 32 × 51 × 191 × 671 × 22 × 143231
LCM(57285,57292) = 3281972220