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What is the Least Common Multiple of 8780 and 8789?

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 8780 and 8789 is 77167420.

LCM(8780,8789) = 77167420

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Least Common Multiple of 8780 and 8789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8780 and 8789, than apply into the LCM equation.

GCF(8780,8789) = 1
LCM(8780,8789) = ( 8780 × 8789) / 1
LCM(8780,8789) = 77167420 / 1
LCM(8780,8789) = 77167420

Least Common Multiple (LCM) of 8780 and 8789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8780 and 8789. First we will calculate the prime factors of 8780 and 8789.

Prime Factorization of 8780

Prime factors of 8780 are 2, 5, 439. Prime factorization of 8780 in exponential form is:

8780 = 22 × 51 × 4391

Prime Factorization of 8789

Prime factors of 8789 are 11, 17, 47. Prime factorization of 8789 in exponential form is:

8789 = 111 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 8780 and 8789.

LCM(8780,8789) = 22 × 51 × 4391 × 111 × 171 × 471
LCM(8780,8789) = 77167420