Least Common Multiple of 2641 and 2646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2641 and 2646 the smallest integer that is 6988086 that is divisible by both numbers.

Least Common Multiple (LCM) of 2641 and 2646 is 6988086.

LCM(2641,2646) = 6988086

LCM of 2641 and 2646

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

LCM of:
and

Least Common Multiple of 2641 and 2646

LCM of 2641 and 2646 is 6988086

Least common multiple can be found by multiplying the highest exponent prime factors of 2641 and 2646. First we will calculate the prime factors of 2641 and 2646.

Prime Factorization of 2641


19 2641
139 139
1

Prime factors of 2641 are 19,139. Prime factorization of 2641 in exponential form is:

2641 = 191×1391

Prime Factorization of 2646


2 2646
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 2646 are 2, 3,7. Prime factorization of 2646 in exponential form is:

2646 = 21×33×72

Now multiplying the highest exponent prime factors to calculate the LCM of 2641 and 2646.

LCM(2641,2646) = 21×33×72×191×1391
LCM(2641,2646) = 6988086

Factors of 2641

List of positive integer factors of 2641 that divides 2641 without a remainder.

1, 19, 139, 2641

Factors of 2646

List of positive integer factors of 2646 that divides 2646 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646

Least Common Multiple of 2641 and 2646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2641 and 2646, than apply into the LCM equation.

GCF(2641,2646) = 1
LCM(2641,2646) = ( 2641 × 2646) / 1
LCM(2641,2646) = 6988086 / 1
LCM(2641,2646) = 6988086

Properties of LCM 2641 and 2646

(i) The LCM of 2646 and 2641 is associative

LCM of 2641 and 2646 = LCM of 2646 and 2641

Related Least Common Multiples of 2641

Related Least Common Multiples of 2646

Frequently Asked Questions on LCM of 2641 and 2646

1. What is the LCM of 2641 and 2646?

Answer: LCM of 2641 and 2646 is 6988086.

2. What are the Factors of 2641?

Answer: Factors of 2641 are 1, 19, 139, 2641. There are 4 integers that are factors of 2641. The greatest factor of 2641 is 2641.

3. What are the Factors of 2646?

Answer: Factors of 2646 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646. There are 24 integers that are factors of 2646. The greatest factor of 2646 is 2646.

4. How to Find the LCM of 2641 and 2646?

Answer:

Least Common Multiple of 2641 and 2646 = 6988086

Step 1: Find the prime factorization of 2641

2641 = 19 x 139

Step 2: Find the prime factorization of 2646

2646 = 2 x 3 x 3 x 3 x 7 x 7

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

LCM = 6988086 = 2 x 3 x 3 x 3 x 7 x 7 x 19 x 139

Step 4: Therefore, the least common multiple of 2641 and 2646 is 6988086.