What is the Least Common Multiple of 9785 and 9789?
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 9785 and 9789 is 95785365.
LCM(9785,9789) = 95785365
Least Common Multiple of 9785 and 9789 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9785 and 9789, than apply into the LCM equation.
GCF(9785,9789) = 1
LCM(9785,9789) = ( 9785 × 9789) / 1
LCM(9785,9789) = 95785365 / 1
LCM(9785,9789) = 95785365
Least Common Multiple (LCM) of 9785 and 9789 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9785 and 9789. First we will calculate the prime factors of 9785 and 9789.
Prime Factorization of 9785
Prime factors of 9785 are 5, 19, 103. Prime factorization of 9785 in exponential form is:
9785 = 51 × 191 × 1031
Prime Factorization of 9789
Prime factors of 9789 are 3, 13, 251. Prime factorization of 9789 in exponential form is:
9789 = 31 × 131 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 9785 and 9789.
LCM(9785,9789) = 51 × 191 × 1031 × 31 × 131 × 2511
LCM(9785,9789) = 95785365
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