Least Common Multiple of 699 and 707
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 699 and 707 the smallest integer that is 494193 that is divisible by both numbers.
Least Common Multiple (LCM) of 699 and 707 is 494193.
LCM(699,707) = 494193
LCM of 699 and 707
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 699 and 707 by Prime method
- Least Common Multiple of 699 and 707 with GCF Formula
LCM of 699 and 707 is 494193
Least common multiple can be found by multiplying the highest exponent prime factors of 699 and 707. First we will calculate the prime factors of 699 and 707.
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
Prime Factorization of 707
| 7 | 707 |
| 101 | 101 |
| 1 |
Prime factors of 707 are 7,101. Prime factorization of 707 in exponential form is:
707 = 71×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 699 and 707.
LCM(699,707) = 31×71×1011×2331
LCM(699,707) = 494193
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Least Common Multiple of 699 and 707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 699 and 707, than apply into the LCM equation.
GCF(699,707) = 1
LCM(699,707) = ( 699 × 707) / 1
LCM(699,707) = 494193 / 1
LCM(699,707) = 494193
Properties of LCM 699 and 707
(i) The LCM of 707 and 699 is associative
LCM of 699 and 707 = LCM of 707 and 699
Related Least Common Multiples of 699
Related Least Common Multiples of 707
Frequently Asked Questions on LCM of 699 and 707
1. What is the LCM of 699 and 707?
Answer: LCM of 699 and 707 is 494193.
2. 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.
3. What are the Factors of 707?
Answer: Factors of 707 are 1, 7, 101, 707. There are 4 integers that are factors of 707. The greatest factor of 707 is 707.
4. How to Find the LCM of 699 and 707?
Answer:
Least Common Multiple of 699 and 707 = 494193
Step 1: Find the prime factorization of 699
699 = 3 x 233
Step 2: Find the prime factorization of 707
707 = 7 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 494193 = 3 x 7 x 101 x 233
Step 4: Therefore, the least common multiple of 699 and 707 is 494193.
