What is the Least Common Multiple of 9639 and 9654?
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 9639 and 9654 is 31018302.
LCM(9639,9654) = 31018302
Least Common Multiple of 9639 and 9654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9639 and 9654, than apply into the LCM equation.
GCF(9639,9654) = 3
LCM(9639,9654) = ( 9639 × 9654) / 3
LCM(9639,9654) = 93054906 / 3
LCM(9639,9654) = 31018302
Least Common Multiple (LCM) of 9639 and 9654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9639 and 9654. First we will calculate the prime factors of 9639 and 9654.
Prime Factorization of 9639
Prime factors of 9639 are 3, 7, 17. Prime factorization of 9639 in exponential form is:
9639 = 34 × 71 × 171
Prime Factorization of 9654
Prime factors of 9654 are 2, 3, 1609. Prime factorization of 9654 in exponential form is:
9654 = 21 × 31 × 16091
Now multiplying the highest exponent prime factors to calculate the LCM of 9639 and 9654.
LCM(9639,9654) = 34 × 71 × 171 × 21 × 16091
LCM(9639,9654) = 31018302
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