Least Common Multiple of 4681 and 4687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4681 and 4687 the smallest integer that is 21939847 that is divisible by both numbers.

Least Common Multiple (LCM) of 4681 and 4687 is 21939847.

LCM(4681,4687) = 21939847

LCM of 4681 and 4687

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

LCM of:
and

Least Common Multiple of 4681 and 4687

LCM of 4681 and 4687 is 21939847

Least common multiple can be found by multiplying the highest exponent prime factors of 4681 and 4687. First we will calculate the prime factors of 4681 and 4687.

Prime Factorization of 4681


31 4681
151 151
1

Prime factors of 4681 are 31,151. Prime factorization of 4681 in exponential form is:

4681 = 311×1511

Prime Factorization of 4687


43 4687
109 109
1

Prime factors of 4687 are 43,109. Prime factorization of 4687 in exponential form is:

4687 = 431×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4681 and 4687.

LCM(4681,4687) = 311×431×1091×1511
LCM(4681,4687) = 21939847

Factors of 4681

List of positive integer factors of 4681 that divides 4681 without a remainder.

1, 31, 151, 4681

Factors of 4687

List of positive integer factors of 4687 that divides 4687 without a remainder.

1, 43, 109, 4687

Least Common Multiple of 4681 and 4687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4681 and 4687, than apply into the LCM equation.

GCF(4681,4687) = 1
LCM(4681,4687) = ( 4681 × 4687) / 1
LCM(4681,4687) = 21939847 / 1
LCM(4681,4687) = 21939847

Properties of LCM 4681 and 4687

(i) The LCM of 4687 and 4681 is associative

LCM of 4681 and 4687 = LCM of 4687 and 4681

Related Least Common Multiples of 4681

Related Least Common Multiples of 4687

Frequently Asked Questions on LCM of 4681 and 4687

1. What is the LCM of 4681 and 4687?

Answer: LCM of 4681 and 4687 is 21939847.

2. What are the Factors of 4681?

Answer: Factors of 4681 are 1, 31, 151, 4681. There are 4 integers that are factors of 4681. The greatest factor of 4681 is 4681.

3. What are the Factors of 4687?

Answer: Factors of 4687 are 1, 43, 109, 4687. There are 4 integers that are factors of 4687. The greatest factor of 4687 is 4687.

4. How to Find the LCM of 4681 and 4687?

Answer:

Least Common Multiple of 4681 and 4687 = 21939847

Step 1: Find the prime factorization of 4681

4681 = 31 x 151

Step 2: Find the prime factorization of 4687

4687 = 43 x 109

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

LCM = 21939847 = 31 x 43 x 109 x 151

Step 4: Therefore, the least common multiple of 4681 and 4687 is 21939847.