Least Common Multiple of 1935 and 1943

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 1943 the smallest integer that is 3759705 that is divisible by both numbers.

Least Common Multiple (LCM) of 1935 and 1943 is 3759705.

LCM(1935,1943) = 3759705

LCM of 1935 and 1943

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

LCM of:
and

Least Common Multiple of 1935 and 1943

LCM of 1935 and 1943 is 3759705

Least common multiple can be found by multiplying the highest exponent prime factors of 1935 and 1943. First we will calculate the prime factors of 1935 and 1943.

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 1943


29 1943
67 67
1

Prime factors of 1943 are 29,67. Prime factorization of 1943 in exponential form is:

1943 = 291×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1935 and 1943.

LCM(1935,1943) = 32×51×291×431×671
LCM(1935,1943) = 3759705

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 1943

List of positive integer factors of 1943 that divides 1943 without a remainder.

1, 29, 67, 1943

Least Common Multiple of 1935 and 1943 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 1943, than apply into the LCM equation.

GCF(1935,1943) = 1
LCM(1935,1943) = ( 1935 × 1943) / 1
LCM(1935,1943) = 3759705 / 1
LCM(1935,1943) = 3759705

Properties of LCM 1935 and 1943

(i) The LCM of 1943 and 1935 is associative

LCM of 1935 and 1943 = LCM of 1943 and 1935

Related Least Common Multiples of 1935

Related Least Common Multiples of 1943

Frequently Asked Questions on LCM of 1935 and 1943

1. What is the LCM of 1935 and 1943?

Answer: LCM of 1935 and 1943 is 3759705.

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 1943?

Answer: Factors of 1943 are 1, 29, 67, 1943. There are 4 integers that are factors of 1943. The greatest factor of 1943 is 1943.

4. How to Find the LCM of 1935 and 1943?

Answer:

Least Common Multiple of 1935 and 1943 = 3759705

Step 1: Find the prime factorization of 1935

1935 = 3 x 3 x 5 x 43

Step 2: Find the prime factorization of 1943

1943 = 29 x 67

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

LCM = 3759705 = 3 x 3 x 5 x 29 x 43 x 67

Step 4: Therefore, the least common multiple of 1935 and 1943 is 3759705.