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What is the Least Common Multiple of 57342 and 57348?

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 57342 and 57348 is 548074836.

LCM(57342,57348) = 548074836

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Least Common Multiple of 57342 and 57348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57342 and 57348, than apply into the LCM equation.

GCF(57342,57348) = 6
LCM(57342,57348) = ( 57342 × 57348) / 6
LCM(57342,57348) = 3288449016 / 6
LCM(57342,57348) = 548074836

Least Common Multiple (LCM) of 57342 and 57348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57342 and 57348. First we will calculate the prime factors of 57342 and 57348.

Prime Factorization of 57342

Prime factors of 57342 are 2, 3, 19, 503. Prime factorization of 57342 in exponential form is:

57342 = 21 × 31 × 191 × 5031

Prime Factorization of 57348

Prime factors of 57348 are 2, 3, 59. Prime factorization of 57348 in exponential form is:

57348 = 22 × 35 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 57342 and 57348.

LCM(57342,57348) = 22 × 35 × 191 × 5031 × 591
LCM(57342,57348) = 548074836