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What is the Least Common Multiple of 17526 and 17545?

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 17526 and 17545 is 307493670.

LCM(17526,17545) = 307493670

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Least Common Multiple of 17526 and 17545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17526 and 17545, than apply into the LCM equation.

GCF(17526,17545) = 1
LCM(17526,17545) = ( 17526 × 17545) / 1
LCM(17526,17545) = 307493670 / 1
LCM(17526,17545) = 307493670

Least Common Multiple (LCM) of 17526 and 17545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17526 and 17545. First we will calculate the prime factors of 17526 and 17545.

Prime Factorization of 17526

Prime factors of 17526 are 2, 3, 23, 127. Prime factorization of 17526 in exponential form is:

17526 = 21 × 31 × 231 × 1271

Prime Factorization of 17545

Prime factors of 17545 are 5, 11, 29. Prime factorization of 17545 in exponential form is:

17545 = 51 × 112 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 17526 and 17545.

LCM(17526,17545) = 21 × 31 × 231 × 1271 × 51 × 112 × 291
LCM(17526,17545) = 307493670