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What is the Least Common Multiple of 57735 and 57745?

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 57735 and 57745 is 666781515.

LCM(57735,57745) = 666781515

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Least Common Multiple of 57735 and 57745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57735 and 57745, than apply into the LCM equation.

GCF(57735,57745) = 5
LCM(57735,57745) = ( 57735 × 57745) / 5
LCM(57735,57745) = 3333907575 / 5
LCM(57735,57745) = 666781515

Least Common Multiple (LCM) of 57735 and 57745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57735 and 57745. First we will calculate the prime factors of 57735 and 57745.

Prime Factorization of 57735

Prime factors of 57735 are 3, 5, 1283. Prime factorization of 57735 in exponential form is:

57735 = 32 × 51 × 12831

Prime Factorization of 57745

Prime factors of 57745 are 5, 11549. Prime factorization of 57745 in exponential form is:

57745 = 51 × 115491

Now multiplying the highest exponent prime factors to calculate the LCM of 57735 and 57745.

LCM(57735,57745) = 32 × 51 × 12831 × 115491
LCM(57735,57745) = 666781515