What is the Least Common Multiple of 16592 and 16602?
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 16592 and 16602 is 137730192.
LCM(16592,16602) = 137730192
Least Common Multiple of 16592 and 16602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16592 and 16602, than apply into the LCM equation.
GCF(16592,16602) = 2
LCM(16592,16602) = ( 16592 × 16602) / 2
LCM(16592,16602) = 275460384 / 2
LCM(16592,16602) = 137730192
Least Common Multiple (LCM) of 16592 and 16602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16592 and 16602. First we will calculate the prime factors of 16592 and 16602.
Prime Factorization of 16592
Prime factors of 16592 are 2, 17, 61. Prime factorization of 16592 in exponential form is:
16592 = 24 × 171 × 611
Prime Factorization of 16602
Prime factors of 16602 are 2, 3, 2767. Prime factorization of 16602 in exponential form is:
16602 = 21 × 31 × 27671
Now multiplying the highest exponent prime factors to calculate the LCM of 16592 and 16602.
LCM(16592,16602) = 24 × 171 × 611 × 31 × 27671
LCM(16592,16602) = 137730192
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