Least Common Multiple of 4684 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 4684 and 4690 the smallest integer that is 10983980 that is divisible by both numbers.

Least Common Multiple (LCM) of 4684 and 4690 is 10983980.

LCM(4684,4690) = 10983980

LCM of 4684 and 4690

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

LCM of:
and

Least Common Multiple of 4684 and 4690

LCM of 4684 and 4690 is 10983980

Least common multiple can be found by multiplying the highest exponent prime factors of 4684 and 4690. First we will calculate the prime factors of 4684 and 4690.

Prime Factorization of 4684


2 4684
2 2342
1171 1171
1

Prime factors of 4684 are 2,1171. Prime factorization of 4684 in exponential form is:

4684 = 22×11711

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 4684 and 4690.

LCM(4684,4690) = 22×51×71×671×11711
LCM(4684,4690) = 10983980

Factors of 4684

List of positive integer factors of 4684 that divides 4684 without a remainder.

1, 2, 4, 1171, 2342, 4684

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 4684 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 4684 and 4690, than apply into the LCM equation.

GCF(4684,4690) = 2
LCM(4684,4690) = ( 4684 × 4690) / 2
LCM(4684,4690) = 21967960 / 2
LCM(4684,4690) = 10983980

Properties of LCM 4684 and 4690

(i) The LCM of 4690 and 4684 is associative

LCM of 4684 and 4690 = LCM of 4690 and 4684

Related Least Common Multiples of 4684

Related Least Common Multiples of 4690

Frequently Asked Questions on LCM of 4684 and 4690

1. What is the LCM of 4684 and 4690?

Answer: LCM of 4684 and 4690 is 10983980.

2. What are the Factors of 4684?

Answer: Factors of 4684 are 1, 2, 4, 1171, 2342, 4684. There are 6 integers that are factors of 4684. The greatest factor of 4684 is 4684.

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 4684 and 4690?

Answer:

Least Common Multiple of 4684 and 4690 = 10983980

Step 1: Find the prime factorization of 4684

4684 = 2 x 2 x 1171

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 = 10983980 = 2 x 2 x 5 x 7 x 67 x 1171

Step 4: Therefore, the least common multiple of 4684 and 4690 is 10983980.