What is the Least Common Multiple of 688 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 688 and 696 is 59856.
LCM(688,696) = 59856
Least Common Multiple of 688 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 688 and 696, than apply into the LCM equation.
GCF(688,696) = 8
LCM(688,696) = ( 688 × 696) / 8
LCM(688,696) = 478848 / 8
LCM(688,696) = 59856
Least Common Multiple (LCM) of 688 and 696 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 688 and 696. First we will calculate the prime factors of 688 and 696.
Prime Factorization of 688
Prime factors of 688 are 2, 43. Prime factorization of 688 in exponential form is:
688 = 24 × 431
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 688 and 696.
LCM(688,696) = 24 × 431 × 31 × 291
LCM(688,696) = 59856
Related Least Common Multiples of 688
- LCM of 688 and 692
- LCM of 688 and 693
- LCM of 688 and 694
- LCM of 688 and 695
- LCM of 688 and 696
- LCM of 688 and 697
- LCM of 688 and 698
- LCM of 688 and 699
- LCM of 688 and 700
- LCM of 688 and 701
- LCM of 688 and 702
- LCM of 688 and 703
- LCM of 688 and 704
- LCM of 688 and 705
- LCM of 688 and 706
- LCM of 688 and 707
- LCM of 688 and 708
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