What is the Least Common Multiple of 9627 and 9639?
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 9627 and 9639 is 30931551.
LCM(9627,9639) = 30931551
Least Common Multiple of 9627 and 9639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9627 and 9639, than apply into the LCM equation.
GCF(9627,9639) = 3
LCM(9627,9639) = ( 9627 × 9639) / 3
LCM(9627,9639) = 92794653 / 3
LCM(9627,9639) = 30931551
Least Common Multiple (LCM) of 9627 and 9639 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9627 and 9639. First we will calculate the prime factors of 9627 and 9639.
Prime Factorization of 9627
Prime factors of 9627 are 3, 3209. Prime factorization of 9627 in exponential form is:
9627 = 31 × 32091
Prime Factorization of 9639
Prime factors of 9639 are 3, 7, 17. Prime factorization of 9639 in exponential form is:
9639 = 34 × 71 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 9627 and 9639.
LCM(9627,9639) = 34 × 32091 × 71 × 171
LCM(9627,9639) = 30931551
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