Least Common Multiple of 2936 and 2941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2936 and 2941 the smallest integer that is 8634776 that is divisible by both numbers.

Least Common Multiple (LCM) of 2936 and 2941 is 8634776.

LCM(2936,2941) = 8634776

LCM of 2936 and 2941

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

LCM of:
and

Least Common Multiple of 2936 and 2941

LCM of 2936 and 2941 is 8634776

Least common multiple can be found by multiplying the highest exponent prime factors of 2936 and 2941. First we will calculate the prime factors of 2936 and 2941.

Prime Factorization of 2936


2 2936
2 1468
2 734
367 367
1

Prime factors of 2936 are 2,367. Prime factorization of 2936 in exponential form is:

2936 = 23×3671

Prime Factorization of 2941


17 2941
173 173
1

Prime factors of 2941 are 17,173. Prime factorization of 2941 in exponential form is:

2941 = 171×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 2936 and 2941.

LCM(2936,2941) = 23×171×1731×3671
LCM(2936,2941) = 8634776

Factors of 2936

List of positive integer factors of 2936 that divides 2936 without a remainder.

1, 2, 4, 8, 367, 734, 1468, 2936

Factors of 2941

List of positive integer factors of 2941 that divides 2941 without a remainder.

1, 17, 173, 2941

Least Common Multiple of 2936 and 2941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2936 and 2941, than apply into the LCM equation.

GCF(2936,2941) = 1
LCM(2936,2941) = ( 2936 × 2941) / 1
LCM(2936,2941) = 8634776 / 1
LCM(2936,2941) = 8634776

Properties of LCM 2936 and 2941

(i) The LCM of 2941 and 2936 is associative

LCM of 2936 and 2941 = LCM of 2941 and 2936

Related Least Common Multiples of 2936

Related Least Common Multiples of 2941

Frequently Asked Questions on LCM of 2936 and 2941

1. What is the LCM of 2936 and 2941?

Answer: LCM of 2936 and 2941 is 8634776.

2. What are the Factors of 2936?

Answer: Factors of 2936 are 1, 2, 4, 8, 367, 734, 1468, 2936. There are 8 integers that are factors of 2936. The greatest factor of 2936 is 2936.

3. What are the Factors of 2941?

Answer: Factors of 2941 are 1, 17, 173, 2941. There are 4 integers that are factors of 2941. The greatest factor of 2941 is 2941.

4. How to Find the LCM of 2936 and 2941?

Answer:

Least Common Multiple of 2936 and 2941 = 8634776

Step 1: Find the prime factorization of 2936

2936 = 2 x 2 x 2 x 367

Step 2: Find the prime factorization of 2941

2941 = 17 x 173

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

LCM = 8634776 = 2 x 2 x 2 x 17 x 173 x 367

Step 4: Therefore, the least common multiple of 2936 and 2941 is 8634776.