What is the Least Common Multiple of 16736 and 16744?
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 16736 and 16744 is 35028448.
LCM(16736,16744) = 35028448
Least Common Multiple of 16736 and 16744 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16736 and 16744, than apply into the LCM equation.
GCF(16736,16744) = 8
LCM(16736,16744) = ( 16736 × 16744) / 8
LCM(16736,16744) = 280227584 / 8
LCM(16736,16744) = 35028448
Least Common Multiple (LCM) of 16736 and 16744 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16736 and 16744. First we will calculate the prime factors of 16736 and 16744.
Prime Factorization of 16736
Prime factors of 16736 are 2, 523. Prime factorization of 16736 in exponential form is:
16736 = 25 × 5231
Prime Factorization of 16744
Prime factors of 16744 are 2, 7, 13, 23. Prime factorization of 16744 in exponential form is:
16744 = 23 × 71 × 131 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 16736 and 16744.
LCM(16736,16744) = 25 × 5231 × 71 × 131 × 231
LCM(16736,16744) = 35028448
Related Least Common Multiples of 16736
- LCM of 16736 and 16740
- LCM of 16736 and 16741
- LCM of 16736 and 16742
- LCM of 16736 and 16743
- LCM of 16736 and 16744
- LCM of 16736 and 16745
- LCM of 16736 and 16746
- LCM of 16736 and 16747
- LCM of 16736 and 16748
- LCM of 16736 and 16749
- LCM of 16736 and 16750
- LCM of 16736 and 16751
- LCM of 16736 and 16752
- LCM of 16736 and 16753
- LCM of 16736 and 16754
- LCM of 16736 and 16755
- LCM of 16736 and 16756
Related Least Common Multiples of 16744
- LCM of 16744 and 16748
- LCM of 16744 and 16749
- LCM of 16744 and 16750
- LCM of 16744 and 16751
- LCM of 16744 and 16752
- LCM of 16744 and 16753
- LCM of 16744 and 16754
- LCM of 16744 and 16755
- LCM of 16744 and 16756
- LCM of 16744 and 16757
- LCM of 16744 and 16758
- LCM of 16744 and 16759
- LCM of 16744 and 16760
- LCM of 16744 and 16761
- LCM of 16744 and 16762
- LCM of 16744 and 16763
- LCM of 16744 and 16764