Least Common Multiple of 4760 and 4761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4760 and 4761 the smallest integer that is 22662360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4760 and 4761 is 22662360.

LCM(4760,4761) = 22662360

LCM of 4760 and 4761

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4760 and 4761

LCM of 4760 and 4761 is 22662360

Least common multiple can be found by multiplying the highest exponent prime factors of 4760 and 4761. First we will calculate the prime factors of 4760 and 4761.

Prime Factorization of 4760


2 4760
2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 4760 are 2, 5, 7,17. Prime factorization of 4760 in exponential form is:

4760 = 23×51×71×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4760 and 4761.

LCM(4760,4761) = 23×32×51×71×171×232
LCM(4760,4761) = 22662360

Factors of 4760

List of positive integer factors of 4760 that divides 4760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760

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

Least Common Multiple of 4760 and 4761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4760 and 4761, than apply into the LCM equation.

GCF(4760,4761) = 1
LCM(4760,4761) = ( 4760 × 4761) / 1
LCM(4760,4761) = 22662360 / 1
LCM(4760,4761) = 22662360

Properties of LCM 4760 and 4761

(i) The LCM of 4761 and 4760 is associative

LCM of 4760 and 4761 = LCM of 4761 and 4760

Related Least Common Multiples of 4760

Related Least Common Multiples of 4761

Frequently Asked Questions on LCM of 4760 and 4761

1. What is the LCM of 4760 and 4761?

Answer: LCM of 4760 and 4761 is 22662360.

2. What are the Factors of 4760?

Answer: Factors of 4760 are 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760. There are 32 integers that are factors of 4760. The greatest factor of 4760 is 4760.

3. 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.

4. How to Find the LCM of 4760 and 4761?

Answer:

Least Common Multiple of 4760 and 4761 = 22662360

Step 1: Find the prime factorization of 4760

4760 = 2 x 2 x 2 x 5 x 7 x 17

Step 2: Find the prime factorization of 4761

4761 = 3 x 3 x 23 x 23

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 22662360 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 x 23 x 23

Step 4: Therefore, the least common multiple of 4760 and 4761 is 22662360.