Least Common Multiple of 4761 and 4769
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4761 and 4769 the smallest integer that is 22705209 that is divisible by both numbers.
Least Common Multiple (LCM) of 4761 and 4769 is 22705209.
LCM(4761,4769) = 22705209
LCM of 4761 and 4769
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4761 and 4769 by Prime method
- Least Common Multiple of 4761 and 4769 with GCF Formula
LCM of 4761 and 4769 is 22705209
Least common multiple can be found by multiplying the highest exponent prime factors of 4761 and 4769. First we will calculate the prime factors of 4761 and 4769.
Prime Factorization of 4761
| 3 | 4761 |
| 3 | 1587 |
| 23 | 529 |
| 23 | 23 |
| 1 |
Prime factors of 4761 are 3,23. Prime factorization of 4761 in exponential form is:
4761 = 32×232
Prime Factorization of 4769
| 19 | 4769 |
| 251 | 251 |
| 1 |
Prime factors of 4769 are 19,251. Prime factorization of 4769 in exponential form is:
4769 = 191×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 4761 and 4769.
LCM(4761,4769) = 32×191×232×2511
LCM(4761,4769) = 22705209
Factors of 4761
List of positive integer factors of 4761 that divides 4761 without a remainder.
1, 3, 9, 23, 69, 207, 529, 1587, 4761
Factors of 4769
List of positive integer factors of 4769 that divides 4769 without a remainder.
1, 19, 251, 4769
Least Common Multiple of 4761 and 4769 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4761 and 4769, than apply into the LCM equation.
GCF(4761,4769) = 1
LCM(4761,4769) = ( 4761 × 4769) / 1
LCM(4761,4769) = 22705209 / 1
LCM(4761,4769) = 22705209
Properties of LCM 4761 and 4769
(i) The LCM of 4769 and 4761 is associative
LCM of 4761 and 4769 = LCM of 4769 and 4761
Related Least Common Multiples of 4761
Related Least Common Multiples of 4769
Frequently Asked Questions on LCM of 4761 and 4769
1. What is the LCM of 4761 and 4769?
Answer: LCM of 4761 and 4769 is 22705209.
2. What are the Factors of 4761?
Answer: Factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761. There are 9 integers that are factors of 4761. The greatest factor of 4761 is 4761.
3. What are the Factors of 4769?
Answer: Factors of 4769 are 1, 19, 251, 4769. There are 4 integers that are factors of 4769. The greatest factor of 4769 is 4769.
4. How to Find the LCM of 4761 and 4769?
Answer:
Least Common Multiple of 4761 and 4769 = 22705209
Step 1: Find the prime factorization of 4761
4761 = 3 x 3 x 23 x 23
Step 2: Find the prime factorization of 4769
4769 = 19 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22705209 = 3 x 3 x 19 x 23 x 23 x 251
Step 4: Therefore, the least common multiple of 4761 and 4769 is 22705209.