Least Common Multiple of 4687 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 4687 and 4694 the smallest integer that is 22000778 that is divisible by both numbers.

Least Common Multiple (LCM) of 4687 and 4694 is 22000778.

LCM(4687,4694) = 22000778

LCM of 4687 and 4694

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

LCM of:
and

Least Common Multiple of 4687 and 4694

LCM of 4687 and 4694 is 22000778

Least common multiple can be found by multiplying the highest exponent prime factors of 4687 and 4694. First we will calculate the prime factors of 4687 and 4694.

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

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 4687 and 4694.

LCM(4687,4694) = 21×431×1091×23471
LCM(4687,4694) = 22000778

Factors of 4687

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

1, 43, 109, 4687

Factors of 4694

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

1, 2, 2347, 4694

Least Common Multiple of 4687 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 4687 and 4694, than apply into the LCM equation.

GCF(4687,4694) = 1
LCM(4687,4694) = ( 4687 × 4694) / 1
LCM(4687,4694) = 22000778 / 1
LCM(4687,4694) = 22000778

Properties of LCM 4687 and 4694

(i) The LCM of 4694 and 4687 is associative

LCM of 4687 and 4694 = LCM of 4694 and 4687

Related Least Common Multiples of 4687

Related Least Common Multiples of 4694

Frequently Asked Questions on LCM of 4687 and 4694

1. What is the LCM of 4687 and 4694?

Answer: LCM of 4687 and 4694 is 22000778.

2. 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.

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 4687 and 4694?

Answer:

Least Common Multiple of 4687 and 4694 = 22000778

Step 1: Find the prime factorization of 4687

4687 = 43 x 109

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 = 22000778 = 2 x 43 x 109 x 2347

Step 4: Therefore, the least common multiple of 4687 and 4694 is 22000778.