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What is the Least Common Multiple of 8754 and 8769?

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 8754 and 8769 is 25587942.

LCM(8754,8769) = 25587942

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Least Common Multiple of 8754 and 8769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8754 and 8769, than apply into the LCM equation.

GCF(8754,8769) = 3
LCM(8754,8769) = ( 8754 × 8769) / 3
LCM(8754,8769) = 76763826 / 3
LCM(8754,8769) = 25587942

Least Common Multiple (LCM) of 8754 and 8769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8754 and 8769. First we will calculate the prime factors of 8754 and 8769.

Prime Factorization of 8754

Prime factors of 8754 are 2, 3, 1459. Prime factorization of 8754 in exponential form is:

8754 = 21 × 31 × 14591

Prime Factorization of 8769

Prime factors of 8769 are 3, 37, 79. Prime factorization of 8769 in exponential form is:

8769 = 31 × 371 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 8754 and 8769.

LCM(8754,8769) = 21 × 31 × 14591 × 371 × 791
LCM(8754,8769) = 25587942