What is the Least Common Multiple of 9679 and 9689?
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 9679 and 9689 is 93779831.
LCM(9679,9689) = 93779831
Least Common Multiple of 9679 and 9689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9679 and 9689, than apply into the LCM equation.
GCF(9679,9689) = 1
LCM(9679,9689) = ( 9679 × 9689) / 1
LCM(9679,9689) = 93779831 / 1
LCM(9679,9689) = 93779831
Least Common Multiple (LCM) of 9679 and 9689 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9679 and 9689. First we will calculate the prime factors of 9679 and 9689.
Prime Factorization of 9679
Prime factors of 9679 are 9679. Prime factorization of 9679 in exponential form is:
9679 = 96791
Prime Factorization of 9689
Prime factors of 9689 are 9689. Prime factorization of 9689 in exponential form is:
9689 = 96891
Now multiplying the highest exponent prime factors to calculate the LCM of 9679 and 9689.
LCM(9679,9689) = 96791 × 96891
LCM(9679,9689) = 93779831
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