What is the Least Common Multiple of 696 and 700?
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 700 is 121800.
LCM(696,700) = 121800
Least Common Multiple of 696 and 700 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 700, than apply into the LCM equation.
GCF(696,700) = 4
LCM(696,700) = ( 696 × 700) / 4
LCM(696,700) = 487200 / 4
LCM(696,700) = 121800
Least Common Multiple (LCM) of 696 and 700 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 696 and 700. First we will calculate the prime factors of 696 and 700.
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 700
Prime factors of 700 are 2, 5, 7. Prime factorization of 700 in exponential form is:
700 = 22 × 52 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 696 and 700.
LCM(696,700) = 23 × 31 × 291 × 52 × 71
LCM(696,700) = 121800
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 700
- LCM of 700 and 704
- LCM of 700 and 705
- LCM of 700 and 706
- LCM of 700 and 707
- LCM of 700 and 708
- LCM of 700 and 709
- LCM of 700 and 710
- LCM of 700 and 711
- LCM of 700 and 712
- LCM of 700 and 713
- LCM of 700 and 714
- LCM of 700 and 715
- LCM of 700 and 716
- LCM of 700 and 717
- LCM of 700 and 718
- LCM of 700 and 719
- LCM of 700 and 720