Least Common Multiple of 6936 and 6941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6936 and 6941 the smallest integer that is 48142776 that is divisible by both numbers.

Least Common Multiple (LCM) of 6936 and 6941 is 48142776.

LCM(6936,6941) = 48142776

LCM of 6936 and 6941

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

LCM of:
and

Least Common Multiple of 6936 and 6941

LCM of 6936 and 6941 is 48142776

Least common multiple can be found by multiplying the highest exponent prime factors of 6936 and 6941. First we will calculate the prime factors of 6936 and 6941.

Prime Factorization of 6936


2 6936
2 3468
2 1734
3 867
17 289
17 17
1

Prime factors of 6936 are 2, 3,17. Prime factorization of 6936 in exponential form is:

6936 = 23×31×172

Prime Factorization of 6941


11 6941
631 631
1

Prime factors of 6941 are 11,631. Prime factorization of 6941 in exponential form is:

6941 = 111×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 6936 and 6941.

LCM(6936,6941) = 23×31×111×172×6311
LCM(6936,6941) = 48142776

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936

Factors of 6941

List of positive integer factors of 6941 that divides 6941 without a remainder.

1, 11, 631, 6941

Least Common Multiple of 6936 and 6941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6936 and 6941, than apply into the LCM equation.

GCF(6936,6941) = 1
LCM(6936,6941) = ( 6936 × 6941) / 1
LCM(6936,6941) = 48142776 / 1
LCM(6936,6941) = 48142776

Properties of LCM 6936 and 6941

(i) The LCM of 6941 and 6936 is associative

LCM of 6936 and 6941 = LCM of 6941 and 6936

Related Least Common Multiples of 6936

Related Least Common Multiples of 6941

Frequently Asked Questions on LCM of 6936 and 6941

1. What is the LCM of 6936 and 6941?

Answer: LCM of 6936 and 6941 is 48142776.

2. What are the Factors of 6936?

Answer: Factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936. There are 24 integers that are factors of 6936. The greatest factor of 6936 is 6936.

3. What are the Factors of 6941?

Answer: Factors of 6941 are 1, 11, 631, 6941. There are 4 integers that are factors of 6941. The greatest factor of 6941 is 6941.

4. How to Find the LCM of 6936 and 6941?

Answer:

Least Common Multiple of 6936 and 6941 = 48142776

Step 1: Find the prime factorization of 6936

6936 = 2 x 2 x 2 x 3 x 17 x 17

Step 2: Find the prime factorization of 6941

6941 = 11 x 631

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

LCM = 48142776 = 2 x 2 x 2 x 3 x 11 x 17 x 17 x 631

Step 4: Therefore, the least common multiple of 6936 and 6941 is 48142776.