What is the Least Common Multiple of 11692 and 11704?
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 11692 and 11704 is 34210792.
LCM(11692,11704) = 34210792
Least Common Multiple of 11692 and 11704 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11692 and 11704, than apply into the LCM equation.
GCF(11692,11704) = 4
LCM(11692,11704) = ( 11692 × 11704) / 4
LCM(11692,11704) = 136843168 / 4
LCM(11692,11704) = 34210792
Least Common Multiple (LCM) of 11692 and 11704 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11692 and 11704. First we will calculate the prime factors of 11692 and 11704.
Prime Factorization of 11692
Prime factors of 11692 are 2, 37, 79. Prime factorization of 11692 in exponential form is:
11692 = 22 × 371 × 791
Prime Factorization of 11704
Prime factors of 11704 are 2, 7, 11, 19. Prime factorization of 11704 in exponential form is:
11704 = 23 × 71 × 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 11692 and 11704.
LCM(11692,11704) = 23 × 371 × 791 × 71 × 111 × 191
LCM(11692,11704) = 34210792
Related Least Common Multiples of 11692
- LCM of 11692 and 11696
- LCM of 11692 and 11697
- LCM of 11692 and 11698
- LCM of 11692 and 11699
- LCM of 11692 and 11700
- LCM of 11692 and 11701
- LCM of 11692 and 11702
- LCM of 11692 and 11703
- LCM of 11692 and 11704
- LCM of 11692 and 11705
- LCM of 11692 and 11706
- LCM of 11692 and 11707
- LCM of 11692 and 11708
- LCM of 11692 and 11709
- LCM of 11692 and 11710
- LCM of 11692 and 11711
- LCM of 11692 and 11712
Related Least Common Multiples of 11704
- LCM of 11704 and 11708
- LCM of 11704 and 11709
- LCM of 11704 and 11710
- LCM of 11704 and 11711
- LCM of 11704 and 11712
- LCM of 11704 and 11713
- LCM of 11704 and 11714
- LCM of 11704 and 11715
- LCM of 11704 and 11716
- LCM of 11704 and 11717
- LCM of 11704 and 11718
- LCM of 11704 and 11719
- LCM of 11704 and 11720
- LCM of 11704 and 11721
- LCM of 11704 and 11722
- LCM of 11704 and 11723
- LCM of 11704 and 11724