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What is the Least Common Multiple of 8789 and 8798?

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 8789 and 8798 is 77325622.

LCM(8789,8798) = 77325622

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Least Common Multiple of 8789 and 8798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8789 and 8798, than apply into the LCM equation.

GCF(8789,8798) = 1
LCM(8789,8798) = ( 8789 × 8798) / 1
LCM(8789,8798) = 77325622 / 1
LCM(8789,8798) = 77325622

Least Common Multiple (LCM) of 8789 and 8798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8789 and 8798. First we will calculate the prime factors of 8789 and 8798.

Prime Factorization of 8789

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

8789 = 111 × 171 × 471

Prime Factorization of 8798

Prime factors of 8798 are 2, 53, 83. Prime factorization of 8798 in exponential form is:

8798 = 21 × 531 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 8789 and 8798.

LCM(8789,8798) = 111 × 171 × 471 × 21 × 531 × 831
LCM(8789,8798) = 77325622