Least Common Multiple of 4686 and 4690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4686 and 4690 the smallest integer that is 10988670 that is divisible by both numbers.

Least Common Multiple (LCM) of 4686 and 4690 is 10988670.

LCM(4686,4690) = 10988670

LCM of 4686 and 4690

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

LCM of:
and

Least Common Multiple of 4686 and 4690

LCM of 4686 and 4690 is 10988670

Least common multiple can be found by multiplying the highest exponent prime factors of 4686 and 4690. First we will calculate the prime factors of 4686 and 4690.

Prime Factorization of 4686


2 4686
3 2343
11 781
71 71
1

Prime factors of 4686 are 2, 3, 11,71. Prime factorization of 4686 in exponential form is:

4686 = 21×31×111×711

Prime Factorization of 4690


2 4690
5 2345
7 469
67 67
1

Prime factors of 4690 are 2, 5, 7,67. Prime factorization of 4690 in exponential form is:

4690 = 21×51×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4686 and 4690.

LCM(4686,4690) = 21×31×51×71×111×671×711
LCM(4686,4690) = 10988670

Factors of 4686

List of positive integer factors of 4686 that divides 4686 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686

Factors of 4690

List of positive integer factors of 4690 that divides 4690 without a remainder.

1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690

Least Common Multiple of 4686 and 4690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4686 and 4690, than apply into the LCM equation.

GCF(4686,4690) = 2
LCM(4686,4690) = ( 4686 × 4690) / 2
LCM(4686,4690) = 21977340 / 2
LCM(4686,4690) = 10988670

Properties of LCM 4686 and 4690

(i) The LCM of 4690 and 4686 is associative

LCM of 4686 and 4690 = LCM of 4690 and 4686

Related Least Common Multiples of 4686

Related Least Common Multiples of 4690

Frequently Asked Questions on LCM of 4686 and 4690

1. What is the LCM of 4686 and 4690?

Answer: LCM of 4686 and 4690 is 10988670.

2. What are the Factors of 4686?

Answer: Factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686. There are 16 integers that are factors of 4686. The greatest factor of 4686 is 4686.

3. What are the Factors of 4690?

Answer: Factors of 4690 are 1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690. There are 16 integers that are factors of 4690. The greatest factor of 4690 is 4690.

4. How to Find the LCM of 4686 and 4690?

Answer:

Least Common Multiple of 4686 and 4690 = 10988670

Step 1: Find the prime factorization of 4686

4686 = 2 x 3 x 11 x 71

Step 2: Find the prime factorization of 4690

4690 = 2 x 5 x 7 x 67

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

LCM = 10988670 = 2 x 3 x 5 x 7 x 11 x 67 x 71

Step 4: Therefore, the least common multiple of 4686 and 4690 is 10988670.