What is the Least Common Multiple of 9789 and 9799?
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 9789 and 9799 is 95922411.
LCM(9789,9799) = 95922411
Least Common Multiple of 9789 and 9799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9789 and 9799, than apply into the LCM equation.
GCF(9789,9799) = 1
LCM(9789,9799) = ( 9789 × 9799) / 1
LCM(9789,9799) = 95922411 / 1
LCM(9789,9799) = 95922411
Least Common Multiple (LCM) of 9789 and 9799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9789 and 9799. First we will calculate the prime factors of 9789 and 9799.
Prime Factorization of 9789
Prime factors of 9789 are 3, 13, 251. Prime factorization of 9789 in exponential form is:
9789 = 31 × 131 × 2511
Prime Factorization of 9799
Prime factors of 9799 are 41, 239. Prime factorization of 9799 in exponential form is:
9799 = 411 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 9789 and 9799.
LCM(9789,9799) = 31 × 131 × 2511 × 411 × 2391
LCM(9789,9799) = 95922411
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