Least Common Multiple of 1935 and 1936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1935 and 1936 the smallest integer that is 3746160 that is divisible by both numbers.

Least Common Multiple (LCM) of 1935 and 1936 is 3746160.

LCM(1935,1936) = 3746160

LCM of 1935 and 1936

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

LCM of:
and

Least Common Multiple of 1935 and 1936

LCM of 1935 and 1936 is 3746160

Least common multiple can be found by multiplying the highest exponent prime factors of 1935 and 1936. First we will calculate the prime factors of 1935 and 1936.

Prime Factorization of 1935


3 1935
3 645
5 215
43 43
1

Prime factors of 1935 are 3, 5,43. Prime factorization of 1935 in exponential form is:

1935 = 32×51×431

Prime Factorization of 1936


2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 1936 are 2,11. Prime factorization of 1936 in exponential form is:

1936 = 24×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1935 and 1936.

LCM(1935,1936) = 24×32×51×112×431
LCM(1935,1936) = 3746160

Factors of 1935

List of positive integer factors of 1935 that divides 1935 without a remainder.

1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1935

Factors of 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936

Least Common Multiple of 1935 and 1936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1935 and 1936, than apply into the LCM equation.

GCF(1935,1936) = 1
LCM(1935,1936) = ( 1935 × 1936) / 1
LCM(1935,1936) = 3746160 / 1
LCM(1935,1936) = 3746160

Properties of LCM 1935 and 1936

(i) The LCM of 1936 and 1935 is associative

LCM of 1935 and 1936 = LCM of 1936 and 1935

Related Least Common Multiples of 1935

Related Least Common Multiples of 1936

Frequently Asked Questions on LCM of 1935 and 1936

1. What is the LCM of 1935 and 1936?

Answer: LCM of 1935 and 1936 is 3746160.

2. What are the Factors of 1935?

Answer: Factors of 1935 are 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1935. There are 12 integers that are factors of 1935. The greatest factor of 1935 is 1935.

3. What are the Factors of 1936?

Answer: Factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936. There are 15 integers that are factors of 1936. The greatest factor of 1936 is 1936.

4. How to Find the LCM of 1935 and 1936?

Answer:

Least Common Multiple of 1935 and 1936 = 3746160

Step 1: Find the prime factorization of 1935

1935 = 3 x 3 x 5 x 43

Step 2: Find the prime factorization of 1936

1936 = 2 x 2 x 2 x 2 x 11 x 11

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

LCM = 3746160 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 11 x 43

Step 4: Therefore, the least common multiple of 1935 and 1936 is 3746160.