Least Common Multiple of 4761 and 4767

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 4767 the smallest integer that is 7565229 that is divisible by both numbers.

Least Common Multiple (LCM) of 4761 and 4767 is 7565229.

LCM(4761,4767) = 7565229

LCM of 4761 and 4767

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

LCM of:
and

Least Common Multiple of 4761 and 4767

LCM of 4761 and 4767 is 7565229

Least common multiple can be found by multiplying the highest exponent prime factors of 4761 and 4767. First we will calculate the prime factors of 4761 and 4767.

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 4767


3 4767
7 1589
227 227
1

Prime factors of 4767 are 3, 7,227. Prime factorization of 4767 in exponential form is:

4767 = 31×71×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 4761 and 4767.

LCM(4761,4767) = 32×71×232×2271
LCM(4761,4767) = 7565229

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 4767

List of positive integer factors of 4767 that divides 4767 without a remainder.

1, 3, 7, 21, 227, 681, 1589, 4767

Least Common Multiple of 4761 and 4767 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 4767, than apply into the LCM equation.

GCF(4761,4767) = 3
LCM(4761,4767) = ( 4761 × 4767) / 3
LCM(4761,4767) = 22695687 / 3
LCM(4761,4767) = 7565229

Properties of LCM 4761 and 4767

(i) The LCM of 4767 and 4761 is associative

LCM of 4761 and 4767 = LCM of 4767 and 4761

Related Least Common Multiples of 4761

Related Least Common Multiples of 4767

Frequently Asked Questions on LCM of 4761 and 4767

1. What is the LCM of 4761 and 4767?

Answer: LCM of 4761 and 4767 is 7565229.

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 4767?

Answer: Factors of 4767 are 1, 3, 7, 21, 227, 681, 1589, 4767. There are 8 integers that are factors of 4767. The greatest factor of 4767 is 4767.

4. How to Find the LCM of 4761 and 4767?

Answer:

Least Common Multiple of 4761 and 4767 = 7565229

Step 1: Find the prime factorization of 4761

4761 = 3 x 3 x 23 x 23

Step 2: Find the prime factorization of 4767

4767 = 3 x 7 x 227

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

LCM = 7565229 = 3 x 3 x 7 x 23 x 23 x 227

Step 4: Therefore, the least common multiple of 4761 and 4767 is 7565229.