Least Common Multiple of 4641 and 4646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4641 and 4646 the smallest integer that is 21562086 that is divisible by both numbers.

Least Common Multiple (LCM) of 4641 and 4646 is 21562086.

LCM(4641,4646) = 21562086

LCM of 4641 and 4646

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

LCM of:
and

Least Common Multiple of 4641 and 4646

LCM of 4641 and 4646 is 21562086

Least common multiple can be found by multiplying the highest exponent prime factors of 4641 and 4646. First we will calculate the prime factors of 4641 and 4646.

Prime Factorization of 4641


3 4641
7 1547
13 221
17 17
1

Prime factors of 4641 are 3, 7, 13,17. Prime factorization of 4641 in exponential form is:

4641 = 31×71×131×171

Prime Factorization of 4646


2 4646
23 2323
101 101
1

Prime factors of 4646 are 2, 23,101. Prime factorization of 4646 in exponential form is:

4646 = 21×231×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4641 and 4646.

LCM(4641,4646) = 21×31×71×131×171×231×1011
LCM(4641,4646) = 21562086

Factors of 4641

List of positive integer factors of 4641 that divides 4641 without a remainder.

1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641

Factors of 4646

List of positive integer factors of 4646 that divides 4646 without a remainder.

1, 2, 23, 46, 101, 202, 2323, 4646

Least Common Multiple of 4641 and 4646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4641 and 4646, than apply into the LCM equation.

GCF(4641,4646) = 1
LCM(4641,4646) = ( 4641 × 4646) / 1
LCM(4641,4646) = 21562086 / 1
LCM(4641,4646) = 21562086

Properties of LCM 4641 and 4646

(i) The LCM of 4646 and 4641 is associative

LCM of 4641 and 4646 = LCM of 4646 and 4641

Related Least Common Multiples of 4641

Related Least Common Multiples of 4646

Frequently Asked Questions on LCM of 4641 and 4646

1. What is the LCM of 4641 and 4646?

Answer: LCM of 4641 and 4646 is 21562086.

2. What are the Factors of 4641?

Answer: Factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641. There are 16 integers that are factors of 4641. The greatest factor of 4641 is 4641.

3. What are the Factors of 4646?

Answer: Factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646. There are 8 integers that are factors of 4646. The greatest factor of 4646 is 4646.

4. How to Find the LCM of 4641 and 4646?

Answer:

Least Common Multiple of 4641 and 4646 = 21562086

Step 1: Find the prime factorization of 4641

4641 = 3 x 7 x 13 x 17

Step 2: Find the prime factorization of 4646

4646 = 2 x 23 x 101

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

LCM = 21562086 = 2 x 3 x 7 x 13 x 17 x 23 x 101

Step 4: Therefore, the least common multiple of 4641 and 4646 is 21562086.