Least Common Multiple of 4764 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 4764 and 4769 the smallest integer that is 22719516 that is divisible by both numbers.
Least Common Multiple (LCM) of 4764 and 4769 is 22719516.
LCM(4764,4769) = 22719516
LCM of 4764 and 4769
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4764 and 4769 by Prime method
- Least Common Multiple of 4764 and 4769 with GCF Formula
LCM of 4764 and 4769 is 22719516
Least common multiple can be found by multiplying the highest exponent prime factors of 4764 and 4769. First we will calculate the prime factors of 4764 and 4769.
Prime Factorization of 4764
| 2 | 4764 |
| 2 | 2382 |
| 3 | 1191 |
| 397 | 397 |
| 1 |
Prime factors of 4764 are 2, 3,397. Prime factorization of 4764 in exponential form is:
4764 = 22×31×3971
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 4764 and 4769.
LCM(4764,4769) = 22×31×191×2511×3971
LCM(4764,4769) = 22719516
Factors of 4764
List of positive integer factors of 4764 that divides 4764 without a remainder.
1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764
Factors of 4769
List of positive integer factors of 4769 that divides 4769 without a remainder.
1, 19, 251, 4769
Least Common Multiple of 4764 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 4764 and 4769, than apply into the LCM equation.
GCF(4764,4769) = 1
LCM(4764,4769) = ( 4764 × 4769) / 1
LCM(4764,4769) = 22719516 / 1
LCM(4764,4769) = 22719516
Properties of LCM 4764 and 4769
(i) The LCM of 4769 and 4764 is associative
LCM of 4764 and 4769 = LCM of 4769 and 4764
Related Least Common Multiples of 4764
Related Least Common Multiples of 4769
Frequently Asked Questions on LCM of 4764 and 4769
1. What is the LCM of 4764 and 4769?
Answer: LCM of 4764 and 4769 is 22719516.
2. What are the Factors of 4764?
Answer: Factors of 4764 are 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764. There are 12 integers that are factors of 4764. The greatest factor of 4764 is 4764.
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 4764 and 4769?
Answer:
Least Common Multiple of 4764 and 4769 = 22719516
Step 1: Find the prime factorization of 4764
4764 = 2 x 2 x 3 x 397
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 = 22719516 = 2 x 2 x 3 x 19 x 251 x 397
Step 4: Therefore, the least common multiple of 4764 and 4769 is 22719516.