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 701 the smallest integer that is 486494 that is divisible by both numbers.
Least Common Multiple (LCM) of 694 and 701 is 486494.
LCM(694,701) = 486494
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 701. First we will calculate the prime factors of 694 and 701.
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 701
701 | 701 |
1 |
Prime factors of 701 are 701. Prime factorization of 701 in exponential form is:
701 = 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 694 and 701.
LCM(694,701) = 21×3471×7011
LCM(694,701) = 486494
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1, 701
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 694 and 701, than apply into the LCM equation.
GCF(694,701) = 1
LCM(694,701) = ( 694 × 701) / 1
LCM(694,701) = 486494 / 1
LCM(694,701) = 486494
(i) The LCM of 701 and 694 is associative
LCM of 694 and 701 = LCM of 701 and 694
1. What is the LCM of 694 and 701?
Answer: LCM of 694 and 701 is 486494.
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 701?
Answer: Factors of 701 are 1, 701. There are 2 integers that are factors of 701. The greatest factor of 701 is 701.
4. How to Find the LCM of 694 and 701?
Answer:
Least Common Multiple of 694 and 701 = 486494
Step 1: Find the prime factorization of 694
694 = 2 x 347
Step 2: Find the prime factorization of 701
701 = 701
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 486494 = 2 x 347 x 701
Step 4: Therefore, the least common multiple of 694 and 701 is 486494.