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What is the Least Common Multiple of 17052 and 17057?

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 17052 and 17057 is 290855964.

LCM(17052,17057) = 290855964

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Least Common Multiple of 17052 and 17057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17052 and 17057, than apply into the LCM equation.

GCF(17052,17057) = 1
LCM(17052,17057) = ( 17052 × 17057) / 1
LCM(17052,17057) = 290855964 / 1
LCM(17052,17057) = 290855964

Least Common Multiple (LCM) of 17052 and 17057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17052 and 17057. First we will calculate the prime factors of 17052 and 17057.

Prime Factorization of 17052

Prime factors of 17052 are 2, 3, 7, 29. Prime factorization of 17052 in exponential form is:

17052 = 22 × 31 × 72 × 291

Prime Factorization of 17057

Prime factors of 17057 are 37, 461. Prime factorization of 17057 in exponential form is:

17057 = 371 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 17052 and 17057.

LCM(17052,17057) = 22 × 31 × 72 × 291 × 371 × 4611
LCM(17052,17057) = 290855964