What is the Least Common Multiple of 16734 and 16753?
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 16734 and 16753 is 280344702.
LCM(16734,16753) = 280344702
Least Common Multiple of 16734 and 16753 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16734 and 16753, than apply into the LCM equation.
GCF(16734,16753) = 1
LCM(16734,16753) = ( 16734 × 16753) / 1
LCM(16734,16753) = 280344702 / 1
LCM(16734,16753) = 280344702
Least Common Multiple (LCM) of 16734 and 16753 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16734 and 16753. First we will calculate the prime factors of 16734 and 16753.
Prime Factorization of 16734
Prime factors of 16734 are 2, 3, 2789. Prime factorization of 16734 in exponential form is:
16734 = 21 × 31 × 27891
Prime Factorization of 16753
Prime factors of 16753 are 11, 1523. Prime factorization of 16753 in exponential form is:
16753 = 111 × 15231
Now multiplying the highest exponent prime factors to calculate the LCM of 16734 and 16753.
LCM(16734,16753) = 21 × 31 × 27891 × 111 × 15231
LCM(16734,16753) = 280344702
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