Least Common Multiple of 4684 and 4691

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 4691 the smallest integer that is 21972644 that is divisible by both numbers.

Least Common Multiple (LCM) of 4684 and 4691 is 21972644.

LCM(4684,4691) = 21972644

LCM of 4684 and 4691

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

LCM of:
and

Least Common Multiple of 4684 and 4691

LCM of 4684 and 4691 is 21972644

Least common multiple can be found by multiplying the highest exponent prime factors of 4684 and 4691. First we will calculate the prime factors of 4684 and 4691.

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 4691


4691 4691
1

Prime factors of 4691 are 4691. Prime factorization of 4691 in exponential form is:

4691 = 46911

Now multiplying the highest exponent prime factors to calculate the LCM of 4684 and 4691.

LCM(4684,4691) = 22×11711×46911
LCM(4684,4691) = 21972644

Factors of 4684

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

1, 2, 4, 1171, 2342, 4684

Factors of 4691

List of positive integer factors of 4691 that divides 4691 without a remainder.

1, 4691

Least Common Multiple of 4684 and 4691 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 4691, than apply into the LCM equation.

GCF(4684,4691) = 1
LCM(4684,4691) = ( 4684 × 4691) / 1
LCM(4684,4691) = 21972644 / 1
LCM(4684,4691) = 21972644

Properties of LCM 4684 and 4691

(i) The LCM of 4691 and 4684 is associative

LCM of 4684 and 4691 = LCM of 4691 and 4684

Related Least Common Multiples of 4684

Related Least Common Multiples of 4691

Frequently Asked Questions on LCM of 4684 and 4691

1. What is the LCM of 4684 and 4691?

Answer: LCM of 4684 and 4691 is 21972644.

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 4691?

Answer: Factors of 4691 are 1, 4691. There are 2 integers that are factors of 4691. The greatest factor of 4691 is 4691.

4. How to Find the LCM of 4684 and 4691?

Answer:

Least Common Multiple of 4684 and 4691 = 21972644

Step 1: Find the prime factorization of 4684

4684 = 2 x 2 x 1171

Step 2: Find the prime factorization of 4691

4691 = 4691

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

LCM = 21972644 = 2 x 2 x 1171 x 4691

Step 4: Therefore, the least common multiple of 4684 and 4691 is 21972644.