What is the Least Common Multiple of 16718 and 16728?
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 16718 and 16728 is 139829352.
LCM(16718,16728) = 139829352
Least Common Multiple of 16718 and 16728 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16718 and 16728, than apply into the LCM equation.
GCF(16718,16728) = 2
LCM(16718,16728) = ( 16718 × 16728) / 2
LCM(16718,16728) = 279658704 / 2
LCM(16718,16728) = 139829352
Least Common Multiple (LCM) of 16718 and 16728 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16718 and 16728. First we will calculate the prime factors of 16718 and 16728.
Prime Factorization of 16718
Prime factors of 16718 are 2, 13, 643. Prime factorization of 16718 in exponential form is:
16718 = 21 × 131 × 6431
Prime Factorization of 16728
Prime factors of 16728 are 2, 3, 17, 41. Prime factorization of 16728 in exponential form is:
16728 = 23 × 31 × 171 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 16718 and 16728.
LCM(16718,16728) = 23 × 131 × 6431 × 31 × 171 × 411
LCM(16718,16728) = 139829352
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