What is the Least Common Multiple of 16588 and 16600?
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 16588 and 16600 is 68840200.
LCM(16588,16600) = 68840200
Least Common Multiple of 16588 and 16600 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16588 and 16600, than apply into the LCM equation.
GCF(16588,16600) = 4
LCM(16588,16600) = ( 16588 × 16600) / 4
LCM(16588,16600) = 275360800 / 4
LCM(16588,16600) = 68840200
Least Common Multiple (LCM) of 16588 and 16600 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16588 and 16600. First we will calculate the prime factors of 16588 and 16600.
Prime Factorization of 16588
Prime factors of 16588 are 2, 11, 13, 29. Prime factorization of 16588 in exponential form is:
16588 = 22 × 111 × 131 × 291
Prime Factorization of 16600
Prime factors of 16600 are 2, 5, 83. Prime factorization of 16600 in exponential form is:
16600 = 23 × 52 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 16588 and 16600.
LCM(16588,16600) = 23 × 111 × 131 × 291 × 52 × 831
LCM(16588,16600) = 68840200
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