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 695 the smallest integer that is 482330 that is divisible by both numbers.
Least Common Multiple (LCM) of 694 and 695 is 482330.
LCM(694,695) = 482330
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 694 and 695. First we will calculate the prime factors of 694 and 695.
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 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 694 and 695.
LCM(694,695) = 21×51×1391×3471
LCM(694,695) = 482330
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1, 2, 347, 694
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 694 and 695, than apply into the LCM equation.
GCF(694,695) = 1
LCM(694,695) = ( 694 × 695) / 1
LCM(694,695) = 482330 / 1
LCM(694,695) = 482330
(i) The LCM of 695 and 694 is associative
LCM of 694 and 695 = LCM of 695 and 694
1. What is the LCM of 694 and 695?
Answer: LCM of 694 and 695 is 482330.
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 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 694 and 695?
Answer:
Least Common Multiple of 694 and 695 = 482330
Step 1: Find the prime factorization of 694
694 = 2 x 347
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 = 482330 = 2 x 5 x 139 x 347
Step 4: Therefore, the least common multiple of 694 and 695 is 482330.