Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7726 and 7734 the smallest integer that is 29876442 that is divisible by both numbers.
Least Common Multiple (LCM) of 7726 and 7734 is 29876442.
LCM(7726,7734) = 29876442
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 7726 and 7734. First we will calculate the prime factors of 7726 and 7734.
Prime Factorization of 7726
2 | 7726 |
3863 | 3863 |
1 |
Prime factors of 7726 are 2,3863. Prime factorization of 7726 in exponential form is:
7726 = 21×38631
Prime Factorization of 7734
2 | 7734 |
3 | 3867 |
1289 | 1289 |
1 |
Prime factors of 7734 are 2, 3,1289. Prime factorization of 7734 in exponential form is:
7734 = 21×31×12891
Now multiplying the highest exponent prime factors to calculate the LCM of 7726 and 7734.
LCM(7726,7734) = 21×31×12891×38631
LCM(7726,7734) = 29876442
Factors of 7726
List of positive integer factors of 7726 that divides 7726 without a remainder.
1, 2, 3863, 7726
Factors of 7734
List of positive integer factors of 7734 that divides 7734 without a remainder.
1, 2, 3, 6, 1289, 2578, 3867, 7734
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7726 and 7734, than apply into the LCM equation.
GCF(7726,7734) = 2
LCM(7726,7734) = ( 7726 × 7734) / 2
LCM(7726,7734) = 59752884 / 2
LCM(7726,7734) = 29876442
(i) The LCM of 7734 and 7726 is associative
LCM of 7726 and 7734 = LCM of 7734 and 7726
1. What is the LCM of 7726 and 7734?
Answer: LCM of 7726 and 7734 is 29876442.
2. What are the Factors of 7726?
Answer: Factors of 7726 are 1, 2, 3863, 7726. There are 4 integers that are factors of 7726. The greatest factor of 7726 is 7726.
3. What are the Factors of 7734?
Answer: Factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734. There are 8 integers that are factors of 7734. The greatest factor of 7734 is 7734.
4. How to Find the LCM of 7726 and 7734?
Answer:
Least Common Multiple of 7726 and 7734 = 29876442
Step 1: Find the prime factorization of 7726
7726 = 2 x 3863
Step 2: Find the prime factorization of 7734
7734 = 2 x 3 x 1289
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29876442 = 2 x 3 x 1289 x 3863
Step 4: Therefore, the least common multiple of 7726 and 7734 is 29876442.