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What is the Least Common Multiple of 57342 and 57355?

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 57355 is 3288850410.

LCM(57342,57355) = 3288850410

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Least Common Multiple of 57342 and 57355 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 57355, than apply into the LCM equation.

GCF(57342,57355) = 1
LCM(57342,57355) = ( 57342 × 57355) / 1
LCM(57342,57355) = 3288850410 / 1
LCM(57342,57355) = 3288850410

Least Common Multiple (LCM) of 57342 and 57355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57342 and 57355. First we will calculate the prime factors of 57342 and 57355.

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 57355

Prime factors of 57355 are 5, 11471. Prime factorization of 57355 in exponential form is:

57355 = 51 × 114711

Now multiplying the highest exponent prime factors to calculate the LCM of 57342 and 57355.

LCM(57342,57355) = 21 × 31 × 191 × 5031 × 51 × 114711
LCM(57342,57355) = 3288850410