Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4759 and 4766 the smallest integer that is 22681394 that is divisible by both numbers.
Least Common Multiple (LCM) of 4759 and 4766 is 22681394.
LCM(4759,4766) = 22681394
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 4759 and 4766. First we will calculate the prime factors of 4759 and 4766.
Prime Factorization of 4759
4759 | 4759 |
1 |
Prime factors of 4759 are 4759. Prime factorization of 4759 in exponential form is:
4759 = 47591
Prime Factorization of 4766
2 | 4766 |
2383 | 2383 |
1 |
Prime factors of 4766 are 2,2383. Prime factorization of 4766 in exponential form is:
4766 = 21×23831
Now multiplying the highest exponent prime factors to calculate the LCM of 4759 and 4766.
LCM(4759,4766) = 21×23831×47591
LCM(4759,4766) = 22681394
Factors of 4759
List of positive integer factors of 4759 that divides 4759 without a remainder.
1, 4759
Factors of 4766
List of positive integer factors of 4766 that divides 4766 without a remainder.
1, 2, 2383, 4766
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4759 and 4766, than apply into the LCM equation.
GCF(4759,4766) = 1
LCM(4759,4766) = ( 4759 × 4766) / 1
LCM(4759,4766) = 22681394 / 1
LCM(4759,4766) = 22681394
(i) The LCM of 4766 and 4759 is associative
LCM of 4759 and 4766 = LCM of 4766 and 4759
1. What is the LCM of 4759 and 4766?
Answer: LCM of 4759 and 4766 is 22681394.
2. What are the Factors of 4759?
Answer: Factors of 4759 are 1, 4759. There are 2 integers that are factors of 4759. The greatest factor of 4759 is 4759.
3. What are the Factors of 4766?
Answer: Factors of 4766 are 1, 2, 2383, 4766. There are 4 integers that are factors of 4766. The greatest factor of 4766 is 4766.
4. How to Find the LCM of 4759 and 4766?
Answer:
Least Common Multiple of 4759 and 4766 = 22681394
Step 1: Find the prime factorization of 4759
4759 = 4759
Step 2: Find the prime factorization of 4766
4766 = 2 x 2383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22681394 = 2 x 2383 x 4759
Step 4: Therefore, the least common multiple of 4759 and 4766 is 22681394.