What is the Least Common Multiple of 689 and 696?
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 689 and 696 is 479544.
LCM(689,696) = 479544
Least Common Multiple of 689 and 696 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 689 and 696, than apply into the LCM equation.
GCF(689,696) = 1
LCM(689,696) = ( 689 × 696) / 1
LCM(689,696) = 479544 / 1
LCM(689,696) = 479544
Least Common Multiple (LCM) of 689 and 696 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 689 and 696. First we will calculate the prime factors of 689 and 696.
Prime Factorization of 689
Prime factors of 689 are 13, 53. Prime factorization of 689 in exponential form is:
689 = 131 × 531
Prime Factorization of 696
Prime factors of 696 are 2, 3, 29. Prime factorization of 696 in exponential form is:
696 = 23 × 31 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 689 and 696.
LCM(689,696) = 131 × 531 × 23 × 31 × 291
LCM(689,696) = 479544
Related Least Common Multiples of 689
- LCM of 689 and 693
- LCM of 689 and 694
- LCM of 689 and 695
- LCM of 689 and 696
- LCM of 689 and 697
- LCM of 689 and 698
- LCM of 689 and 699
- LCM of 689 and 700
- LCM of 689 and 701
- LCM of 689 and 702
- LCM of 689 and 703
- LCM of 689 and 704
- LCM of 689 and 705
- LCM of 689 and 706
- LCM of 689 and 707
- LCM of 689 and 708
- LCM of 689 and 709
Related Least Common Multiples of 696
- LCM of 696 and 700
- LCM of 696 and 701
- LCM of 696 and 702
- LCM of 696 and 703
- LCM of 696 and 704
- LCM of 696 and 705
- LCM of 696 and 706
- LCM of 696 and 707
- LCM of 696 and 708
- LCM of 696 and 709
- LCM of 696 and 710
- LCM of 696 and 711
- LCM of 696 and 712
- LCM of 696 and 713
- LCM of 696 and 714
- LCM of 696 and 715
- LCM of 696 and 716