Least Common Multiple of 694 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 694 and 699 the smallest integer that is 485106 that is divisible by both numbers.
Least Common Multiple (LCM) of 694 and 699 is 485106.
LCM(694,699) = 485106
LCM of 694 and 699
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 694 and 699 by Prime method
- Least Common Multiple of 694 and 699 with GCF Formula
LCM of 694 and 699 is 485106
Least common multiple can be found by multiplying the highest exponent prime factors of 694 and 699. First we will calculate the prime factors of 694 and 699.
Prime Factorization of 694
| 2 | 694 |
| 347 | 347 |
| 1 |
Prime factors of 694 are 2,347. Prime factorization of 694 in exponential form is:
694 = 21×3471
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 694 and 699.
LCM(694,699) = 21×31×2331×3471
LCM(694,699) = 485106
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Least Common Multiple of 694 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 694 and 699, than apply into the LCM equation.
GCF(694,699) = 1
LCM(694,699) = ( 694 × 699) / 1
LCM(694,699) = 485106 / 1
LCM(694,699) = 485106
Properties of LCM 694 and 699
(i) The LCM of 699 and 694 is associative
LCM of 694 and 699 = LCM of 699 and 694
Related Least Common Multiples of 694
Related Least Common Multiples of 699
Frequently Asked Questions on LCM of 694 and 699
1. What is the LCM of 694 and 699?
Answer: LCM of 694 and 699 is 485106.
2. What are the Factors of 694?
Answer: Factors of 694 are 1, 2, 347, 694. There are 4 integers that are factors of 694. The greatest factor of 694 is 694.
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 694 and 699?
Answer:
Least Common Multiple of 694 and 699 = 485106
Step 1: Find the prime factorization of 694
694 = 2 x 347
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 = 485106 = 2 x 3 x 233 x 347
Step 4: Therefore, the least common multiple of 694 and 699 is 485106.
