What is the Least Common Multiple of 696 and 706?
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 696 and 706 is 245688.
LCM(696,706) = 245688
Least Common Multiple of 696 and 706 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 696 and 706, than apply into the LCM equation.
GCF(696,706) = 2
LCM(696,706) = ( 696 × 706) / 2
LCM(696,706) = 491376 / 2
LCM(696,706) = 245688
Least Common Multiple (LCM) of 696 and 706 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 696 and 706. First we will calculate the prime factors of 696 and 706.
Prime Factorization of 696
Prime factors of 696 are 2, 3, 29. Prime factorization of 696 in exponential form is:
696 = 23 × 31 × 291
Prime Factorization of 706
Prime factors of 706 are 2, 353. Prime factorization of 706 in exponential form is:
706 = 21 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 696 and 706.
LCM(696,706) = 23 × 31 × 291 × 3531
LCM(696,706) = 245688
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
Related Least Common Multiples of 706
- LCM of 706 and 710
- LCM of 706 and 711
- LCM of 706 and 712
- LCM of 706 and 713
- LCM of 706 and 714
- LCM of 706 and 715
- LCM of 706 and 716
- LCM of 706 and 717
- LCM of 706 and 718
- LCM of 706 and 719
- LCM of 706 and 720
- LCM of 706 and 721
- LCM of 706 and 722
- LCM of 706 and 723
- LCM of 706 and 724
- LCM of 706 and 725
- LCM of 706 and 726