Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 63689 and 63694 the smallest integer that is 4056607166 that is divisible by both numbers.
Least Common Multiple (LCM) of 63689 and 63694 is 4056607166.
LCM(63689,63694) = 4056607166
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 63689 and 63694. First we will calculate the prime factors of 63689 and 63694.
Prime Factorization of 63689
63689 | 63689 |
1 |
Prime factors of 63689 are 63689. Prime factorization of 63689 in exponential form is:
63689 = 636891
Prime Factorization of 63694
2 | 63694 |
31847 | 31847 |
1 |
Prime factors of 63694 are 2,31847. Prime factorization of 63694 in exponential form is:
63694 = 21×318471
Now multiplying the highest exponent prime factors to calculate the LCM of 63689 and 63694.
LCM(63689,63694) = 21×318471×636891
LCM(63689,63694) = 4056607166
Factors of 63689
List of positive integer factors of 63689 that divides 63689 without a remainder.
1, 63689
Factors of 63694
List of positive integer factors of 63694 that divides 63694 without a remainder.
1, 2, 31847, 63694
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63689 and 63694, than apply into the LCM equation.
GCF(63689,63694) = 1
LCM(63689,63694) = ( 63689 × 63694) / 1
LCM(63689,63694) = 4056607166 / 1
LCM(63689,63694) = 4056607166
(i) The LCM of 63694 and 63689 is associative
LCM of 63689 and 63694 = LCM of 63694 and 63689
1. What is the LCM of 63689 and 63694?
Answer: LCM of 63689 and 63694 is 4056607166.
2. What are the Factors of 63689?
Answer: Factors of 63689 are 1, 63689. There are 2 integers that are factors of 63689. The greatest factor of 63689 is 63689.
3. What are the Factors of 63694?
Answer: Factors of 63694 are 1, 2, 31847, 63694. There are 4 integers that are factors of 63694. The greatest factor of 63694 is 63694.
4. How to Find the LCM of 63689 and 63694?
Answer:
Least Common Multiple of 63689 and 63694 = 4056607166
Step 1: Find the prime factorization of 63689
63689 = 63689
Step 2: Find the prime factorization of 63694
63694 = 2 x 31847
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4056607166 = 2 x 31847 x 63689
Step 4: Therefore, the least common multiple of 63689 and 63694 is 4056607166.