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What is the Least Common Multiple of 57343 and 57363?

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 57343 and 57363 is 3289366509.

LCM(57343,57363) = 3289366509

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Least Common Multiple of 57343 and 57363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57343 and 57363, than apply into the LCM equation.

GCF(57343,57363) = 1
LCM(57343,57363) = ( 57343 × 57363) / 1
LCM(57343,57363) = 3289366509 / 1
LCM(57343,57363) = 3289366509

Least Common Multiple (LCM) of 57343 and 57363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57343 and 57363. First we will calculate the prime factors of 57343 and 57363.

Prime Factorization of 57343

Prime factors of 57343 are 11, 13, 401. Prime factorization of 57343 in exponential form is:

57343 = 111 × 131 × 4011

Prime Factorization of 57363

Prime factors of 57363 are 3, 19121. Prime factorization of 57363 in exponential form is:

57363 = 31 × 191211

Now multiplying the highest exponent prime factors to calculate the LCM of 57343 and 57363.

LCM(57343,57363) = 111 × 131 × 4011 × 31 × 191211
LCM(57343,57363) = 3289366509