Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 691 and 695 the smallest integer that is 480245 that is divisible by both numbers.
Least Common Multiple (LCM) of 691 and 695 is 480245.
LCM(691,695) = 480245
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 691 and 695. First we will calculate the prime factors of 691 and 695.
Prime Factorization of 691
691 | 691 |
1 |
Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:
691 = 6911
Prime Factorization of 695
5 | 695 |
139 | 139 |
1 |
Prime factors of 695 are 5,139. Prime factorization of 695 in exponential form is:
695 = 51×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 691 and 695.
LCM(691,695) = 51×1391×6911
LCM(691,695) = 480245
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1, 691
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1, 5, 139, 695
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 691 and 695, than apply into the LCM equation.
GCF(691,695) = 1
LCM(691,695) = ( 691 × 695) / 1
LCM(691,695) = 480245 / 1
LCM(691,695) = 480245
(i) The LCM of 695 and 691 is associative
LCM of 691 and 695 = LCM of 695 and 691
1. What is the LCM of 691 and 695?
Answer: LCM of 691 and 695 is 480245.
2. What are the Factors of 691?
Answer: Factors of 691 are 1, 691. There are 2 integers that are factors of 691. The greatest factor of 691 is 691.
3. What are the Factors of 695?
Answer: Factors of 695 are 1, 5, 139, 695. There are 4 integers that are factors of 695. The greatest factor of 695 is 695.
4. How to Find the LCM of 691 and 695?
Answer:
Least Common Multiple of 691 and 695 = 480245
Step 1: Find the prime factorization of 691
691 = 691
Step 2: Find the prime factorization of 695
695 = 5 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 480245 = 5 x 139 x 691
Step 4: Therefore, the least common multiple of 691 and 695 is 480245.