What is the Least Common Multiple of 9667 and 9678?
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 9667 and 9678 is 93557226.
LCM(9667,9678) = 93557226
Least Common Multiple of 9667 and 9678 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9667 and 9678, than apply into the LCM equation.
GCF(9667,9678) = 1
LCM(9667,9678) = ( 9667 × 9678) / 1
LCM(9667,9678) = 93557226 / 1
LCM(9667,9678) = 93557226
Least Common Multiple (LCM) of 9667 and 9678 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9667 and 9678. First we will calculate the prime factors of 9667 and 9678.
Prime Factorization of 9667
Prime factors of 9667 are 7, 1381. Prime factorization of 9667 in exponential form is:
9667 = 71 × 13811
Prime Factorization of 9678
Prime factors of 9678 are 2, 3, 1613. Prime factorization of 9678 in exponential form is:
9678 = 21 × 31 × 16131
Now multiplying the highest exponent prime factors to calculate the LCM of 9667 and 9678.
LCM(9667,9678) = 71 × 13811 × 21 × 31 × 16131
LCM(9667,9678) = 93557226
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