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What is the Least Common Multiple of 8780 and 8792?

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 8792 is 19298440.

LCM(8780,8792) = 19298440

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Least Common Multiple of 8780 and 8792 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 8792, than apply into the LCM equation.

GCF(8780,8792) = 4
LCM(8780,8792) = ( 8780 × 8792) / 4
LCM(8780,8792) = 77193760 / 4
LCM(8780,8792) = 19298440

Least Common Multiple (LCM) of 8780 and 8792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8780 and 8792. First we will calculate the prime factors of 8780 and 8792.

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 8792

Prime factors of 8792 are 2, 7, 157. Prime factorization of 8792 in exponential form is:

8792 = 23 × 71 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 8780 and 8792.

LCM(8780,8792) = 23 × 51 × 4391 × 71 × 1571
LCM(8780,8792) = 19298440