Least Common Multiple of 695 and 699
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 695 and 699 the smallest integer that is 485805 that is divisible by both numbers.
Least Common Multiple (LCM) of 695 and 699 is 485805.
LCM(695,699) = 485805
LCM of 695 and 699
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 695 and 699 by Prime method
- Least Common Multiple of 695 and 699 with GCF Formula
LCM of 695 and 699 is 485805
Least common multiple can be found by multiplying the highest exponent prime factors of 695 and 699. First we will calculate the prime factors of 695 and 699.
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
Prime Factorization of 699
| 3 | 699 |
| 233 | 233 |
| 1 |
Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:
699 = 31×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 695 and 699.
LCM(695,699) = 31×51×1391×2331
LCM(695,699) = 485805
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Least Common Multiple of 695 and 699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 695 and 699, than apply into the LCM equation.
GCF(695,699) = 1
LCM(695,699) = ( 695 × 699) / 1
LCM(695,699) = 485805 / 1
LCM(695,699) = 485805
Properties of LCM 695 and 699
(i) The LCM of 699 and 695 is associative
LCM of 695 and 699 = LCM of 699 and 695
Related Least Common Multiples of 695
Related Least Common Multiples of 699
Frequently Asked Questions on LCM of 695 and 699
1. What is the LCM of 695 and 699?
Answer: LCM of 695 and 699 is 485805.
2. 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.
3. What are the Factors of 699?
Answer: Factors of 699 are 1, 3, 233, 699. There are 4 integers that are factors of 699. The greatest factor of 699 is 699.
4. How to Find the LCM of 695 and 699?
Answer:
Least Common Multiple of 695 and 699 = 485805
Step 1: Find the prime factorization of 695
695 = 5 x 139
Step 2: Find the prime factorization of 699
699 = 3 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 485805 = 3 x 5 x 139 x 233
Step 4: Therefore, the least common multiple of 695 and 699 is 485805.
