Least Common Multiple of 7654 and 7661
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7654 and 7661 the smallest integer that is 58637294 that is divisible by both numbers.
Least Common Multiple (LCM) of 7654 and 7661 is 58637294.
LCM(7654,7661) = 58637294
LCM of 7654 and 7661
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7654 and 7661 by Prime method
- Least Common Multiple of 7654 and 7661 with GCF Formula
LCM of 7654 and 7661 is 58637294
Least common multiple can be found by multiplying the highest exponent prime factors of 7654 and 7661. First we will calculate the prime factors of 7654 and 7661.
Prime Factorization of 7654
| 2 | 7654 |
| 43 | 3827 |
| 89 | 89 |
| 1 |
Prime factors of 7654 are 2, 43,89. Prime factorization of 7654 in exponential form is:
7654 = 21×431×891
Prime Factorization of 7661
| 47 | 7661 |
| 163 | 163 |
| 1 |
Prime factors of 7661 are 47,163. Prime factorization of 7661 in exponential form is:
7661 = 471×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 7654 and 7661.
LCM(7654,7661) = 21×431×471×891×1631
LCM(7654,7661) = 58637294
Factors of 7654
List of positive integer factors of 7654 that divides 7654 without a remainder.
1, 2, 43, 86, 89, 178, 3827, 7654
Factors of 7661
List of positive integer factors of 7661 that divides 7661 without a remainder.
1, 47, 163, 7661
Least Common Multiple of 7654 and 7661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7654 and 7661, than apply into the LCM equation.
GCF(7654,7661) = 1
LCM(7654,7661) = ( 7654 × 7661) / 1
LCM(7654,7661) = 58637294 / 1
LCM(7654,7661) = 58637294
Properties of LCM 7654 and 7661
(i) The LCM of 7661 and 7654 is associative
LCM of 7654 and 7661 = LCM of 7661 and 7654
Related Least Common Multiples of 7654
Related Least Common Multiples of 7661
Frequently Asked Questions on LCM of 7654 and 7661
1. What is the LCM of 7654 and 7661?
Answer: LCM of 7654 and 7661 is 58637294.
2. What are the Factors of 7654?
Answer: Factors of 7654 are 1, 2, 43, 86, 89, 178, 3827, 7654. There are 8 integers that are factors of 7654. The greatest factor of 7654 is 7654.
3. What are the Factors of 7661?
Answer: Factors of 7661 are 1, 47, 163, 7661. There are 4 integers that are factors of 7661. The greatest factor of 7661 is 7661.
4. How to Find the LCM of 7654 and 7661?
Answer:
Least Common Multiple of 7654 and 7661 = 58637294
Step 1: Find the prime factorization of 7654
7654 = 2 x 43 x 89
Step 2: Find the prime factorization of 7661
7661 = 47 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58637294 = 2 x 43 x 47 x 89 x 163
Step 4: Therefore, the least common multiple of 7654 and 7661 is 58637294.