Least Common Multiple of 1935 and 1939

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 1939 the smallest integer that is 3751965 that is divisible by both numbers.

Least Common Multiple (LCM) of 1935 and 1939 is 3751965.

LCM(1935,1939) = 3751965

LCM of 1935 and 1939

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

LCM of:
and

Least Common Multiple of 1935 and 1939

LCM of 1935 and 1939 is 3751965

Least common multiple can be found by multiplying the highest exponent prime factors of 1935 and 1939. First we will calculate the prime factors of 1935 and 1939.

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 1939


7 1939
277 277
1

Prime factors of 1939 are 7,277. Prime factorization of 1939 in exponential form is:

1939 = 71×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 1935 and 1939.

LCM(1935,1939) = 32×51×71×431×2771
LCM(1935,1939) = 3751965

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 1939

List of positive integer factors of 1939 that divides 1939 without a remainder.

1, 7, 277, 1939

Least Common Multiple of 1935 and 1939 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 1939, than apply into the LCM equation.

GCF(1935,1939) = 1
LCM(1935,1939) = ( 1935 × 1939) / 1
LCM(1935,1939) = 3751965 / 1
LCM(1935,1939) = 3751965

Properties of LCM 1935 and 1939

(i) The LCM of 1939 and 1935 is associative

LCM of 1935 and 1939 = LCM of 1939 and 1935

Related Least Common Multiples of 1935

Related Least Common Multiples of 1939

Frequently Asked Questions on LCM of 1935 and 1939

1. What is the LCM of 1935 and 1939?

Answer: LCM of 1935 and 1939 is 3751965.

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 1939?

Answer: Factors of 1939 are 1, 7, 277, 1939. There are 4 integers that are factors of 1939. The greatest factor of 1939 is 1939.

4. How to Find the LCM of 1935 and 1939?

Answer:

Least Common Multiple of 1935 and 1939 = 3751965

Step 1: Find the prime factorization of 1935

1935 = 3 x 3 x 5 x 43

Step 2: Find the prime factorization of 1939

1939 = 7 x 277

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

LCM = 3751965 = 3 x 3 x 5 x 7 x 43 x 277

Step 4: Therefore, the least common multiple of 1935 and 1939 is 3751965.