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What is the Least Common Multiple of 8762 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 8762 and 8769 is 76833978.

LCM(8762,8769) = 76833978

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Least Common Multiple of 8762 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 8762 and 8769, than apply into the LCM equation.

GCF(8762,8769) = 1
LCM(8762,8769) = ( 8762 × 8769) / 1
LCM(8762,8769) = 76833978 / 1
LCM(8762,8769) = 76833978

Least Common Multiple (LCM) of 8762 and 8769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8762 and 8769. First we will calculate the prime factors of 8762 and 8769.

Prime Factorization of 8762

Prime factors of 8762 are 2, 13, 337. Prime factorization of 8762 in exponential form is:

8762 = 21 × 131 × 3371

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 8762 and 8769.

LCM(8762,8769) = 21 × 131 × 3371 × 31 × 371 × 791
LCM(8762,8769) = 76833978