What is the Least Common Multiple of 32688 and 32697?
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 32688 and 32697 is 118755504.
LCM(32688,32697) = 118755504
Least Common Multiple of 32688 and 32697 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32688 and 32697, than apply into the LCM equation.
GCF(32688,32697) = 9
LCM(32688,32697) = ( 32688 × 32697) / 9
LCM(32688,32697) = 1068799536 / 9
LCM(32688,32697) = 118755504
Least Common Multiple (LCM) of 32688 and 32697 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32688 and 32697. First we will calculate the prime factors of 32688 and 32697.
Prime Factorization of 32688
Prime factors of 32688 are 2, 3, 227. Prime factorization of 32688 in exponential form is:
32688 = 24 × 32 × 2271
Prime Factorization of 32697
Prime factors of 32697 are 3, 7, 173. Prime factorization of 32697 in exponential form is:
32697 = 33 × 71 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 32688 and 32697.
LCM(32688,32697) = 24 × 33 × 2271 × 71 × 1731
LCM(32688,32697) = 118755504
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