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What is the Least Common Multiple of 57356 and 57367?

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 57356 and 57367 is 3290341652.

LCM(57356,57367) = 3290341652

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Least Common Multiple of 57356 and 57367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57356 and 57367, than apply into the LCM equation.

GCF(57356,57367) = 1
LCM(57356,57367) = ( 57356 × 57367) / 1
LCM(57356,57367) = 3290341652 / 1
LCM(57356,57367) = 3290341652

Least Common Multiple (LCM) of 57356 and 57367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57356 and 57367. First we will calculate the prime factors of 57356 and 57367.

Prime Factorization of 57356

Prime factors of 57356 are 2, 13, 1103. Prime factorization of 57356 in exponential form is:

57356 = 22 × 131 × 11031

Prime Factorization of 57367

Prime factors of 57367 are 57367. Prime factorization of 57367 in exponential form is:

57367 = 573671

Now multiplying the highest exponent prime factors to calculate the LCM of 57356 and 57367.

LCM(57356,57367) = 22 × 131 × 11031 × 573671
LCM(57356,57367) = 3290341652