Least Common Multiple of 4686 and 4694

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 4694 the smallest integer that is 10998042 that is divisible by both numbers.

Least Common Multiple (LCM) of 4686 and 4694 is 10998042.

LCM(4686,4694) = 10998042

LCM of 4686 and 4694

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

LCM of:
and

Least Common Multiple of 4686 and 4694

LCM of 4686 and 4694 is 10998042

Least common multiple can be found by multiplying the highest exponent prime factors of 4686 and 4694. First we will calculate the prime factors of 4686 and 4694.

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 4694


2 4694
2347 2347
1

Prime factors of 4694 are 2,2347. Prime factorization of 4694 in exponential form is:

4694 = 21×23471

Now multiplying the highest exponent prime factors to calculate the LCM of 4686 and 4694.

LCM(4686,4694) = 21×31×111×711×23471
LCM(4686,4694) = 10998042

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 4694

List of positive integer factors of 4694 that divides 4694 without a remainder.

1, 2, 2347, 4694

Least Common Multiple of 4686 and 4694 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 4694, than apply into the LCM equation.

GCF(4686,4694) = 2
LCM(4686,4694) = ( 4686 × 4694) / 2
LCM(4686,4694) = 21996084 / 2
LCM(4686,4694) = 10998042

Properties of LCM 4686 and 4694

(i) The LCM of 4694 and 4686 is associative

LCM of 4686 and 4694 = LCM of 4694 and 4686

Related Least Common Multiples of 4686

Related Least Common Multiples of 4694

Frequently Asked Questions on LCM of 4686 and 4694

1. What is the LCM of 4686 and 4694?

Answer: LCM of 4686 and 4694 is 10998042.

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 4694?

Answer: Factors of 4694 are 1, 2, 2347, 4694. There are 4 integers that are factors of 4694. The greatest factor of 4694 is 4694.

4. How to Find the LCM of 4686 and 4694?

Answer:

Least Common Multiple of 4686 and 4694 = 10998042

Step 1: Find the prime factorization of 4686

4686 = 2 x 3 x 11 x 71

Step 2: Find the prime factorization of 4694

4694 = 2 x 2347

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

LCM = 10998042 = 2 x 3 x 11 x 71 x 2347

Step 4: Therefore, the least common multiple of 4686 and 4694 is 10998042.