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What is the Least Common Multiple of 8537 and 8544?

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 8537 and 8544 is 72940128.

LCM(8537,8544) = 72940128

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Least Common Multiple of 8537 and 8544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8537 and 8544, than apply into the LCM equation.

GCF(8537,8544) = 1
LCM(8537,8544) = ( 8537 × 8544) / 1
LCM(8537,8544) = 72940128 / 1
LCM(8537,8544) = 72940128

Least Common Multiple (LCM) of 8537 and 8544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8537 and 8544. First we will calculate the prime factors of 8537 and 8544.

Prime Factorization of 8537

Prime factors of 8537 are 8537. Prime factorization of 8537 in exponential form is:

8537 = 85371

Prime Factorization of 8544

Prime factors of 8544 are 2, 3, 89. Prime factorization of 8544 in exponential form is:

8544 = 25 × 31 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 8537 and 8544.

LCM(8537,8544) = 85371 × 25 × 31 × 891
LCM(8537,8544) = 72940128