What is the Least Common Multiple of 9658 and 9667?
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 9658 and 9667 is 93363886.
LCM(9658,9667) = 93363886
Least Common Multiple of 9658 and 9667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9658 and 9667, than apply into the LCM equation.
GCF(9658,9667) = 1
LCM(9658,9667) = ( 9658 × 9667) / 1
LCM(9658,9667) = 93363886 / 1
LCM(9658,9667) = 93363886
Least Common Multiple (LCM) of 9658 and 9667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9658 and 9667. First we will calculate the prime factors of 9658 and 9667.
Prime Factorization of 9658
Prime factors of 9658 are 2, 11, 439. Prime factorization of 9658 in exponential form is:
9658 = 21 × 111 × 4391
Prime Factorization of 9667
Prime factors of 9667 are 7, 1381. Prime factorization of 9667 in exponential form is:
9667 = 71 × 13811
Now multiplying the highest exponent prime factors to calculate the LCM of 9658 and 9667.
LCM(9658,9667) = 21 × 111 × 4391 × 71 × 13811
LCM(9658,9667) = 93363886
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