What is the Least Common Multiple of 16754 and 16764?
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 16754 and 16764 is 140432028.
LCM(16754,16764) = 140432028
Least Common Multiple of 16754 and 16764 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16754 and 16764, than apply into the LCM equation.
GCF(16754,16764) = 2
LCM(16754,16764) = ( 16754 × 16764) / 2
LCM(16754,16764) = 280864056 / 2
LCM(16754,16764) = 140432028
Least Common Multiple (LCM) of 16754 and 16764 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16754 and 16764. First we will calculate the prime factors of 16754 and 16764.
Prime Factorization of 16754
Prime factors of 16754 are 2, 8377. Prime factorization of 16754 in exponential form is:
16754 = 21 × 83771
Prime Factorization of 16764
Prime factors of 16764 are 2, 3, 11, 127. Prime factorization of 16764 in exponential form is:
16764 = 22 × 31 × 111 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 16754 and 16764.
LCM(16754,16764) = 22 × 83771 × 31 × 111 × 1271
LCM(16754,16764) = 140432028
Related Least Common Multiples of 16754
- LCM of 16754 and 16758
- LCM of 16754 and 16759
- LCM of 16754 and 16760
- LCM of 16754 and 16761
- LCM of 16754 and 16762
- LCM of 16754 and 16763
- LCM of 16754 and 16764
- LCM of 16754 and 16765
- LCM of 16754 and 16766
- LCM of 16754 and 16767
- LCM of 16754 and 16768
- LCM of 16754 and 16769
- LCM of 16754 and 16770
- LCM of 16754 and 16771
- LCM of 16754 and 16772
- LCM of 16754 and 16773
- LCM of 16754 and 16774
Related Least Common Multiples of 16764
- LCM of 16764 and 16768
- LCM of 16764 and 16769
- LCM of 16764 and 16770
- LCM of 16764 and 16771
- LCM of 16764 and 16772
- LCM of 16764 and 16773
- LCM of 16764 and 16774
- LCM of 16764 and 16775
- LCM of 16764 and 16776
- LCM of 16764 and 16777
- LCM of 16764 and 16778
- LCM of 16764 and 16779
- LCM of 16764 and 16780
- LCM of 16764 and 16781
- LCM of 16764 and 16782
- LCM of 16764 and 16783
- LCM of 16764 and 16784