Least Common Multiple of 1934 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 1934 and 1939 the smallest integer that is 3750026 that is divisible by both numbers.

Least Common Multiple (LCM) of 1934 and 1939 is 3750026.

LCM(1934,1939) = 3750026

LCM of 1934 and 1939

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

LCM of:
and

Least Common Multiple of 1934 and 1939

LCM of 1934 and 1939 is 3750026

Least common multiple can be found by multiplying the highest exponent prime factors of 1934 and 1939. First we will calculate the prime factors of 1934 and 1939.

Prime Factorization of 1934


2 1934
967 967
1

Prime factors of 1934 are 2,967. Prime factorization of 1934 in exponential form is:

1934 = 21×9671

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 1934 and 1939.

LCM(1934,1939) = 21×71×2771×9671
LCM(1934,1939) = 3750026

Factors of 1934

List of positive integer factors of 1934 that divides 1934 without a remainder.

1, 2, 967, 1934

Factors of 1939

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

1, 7, 277, 1939

Least Common Multiple of 1934 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 1934 and 1939, than apply into the LCM equation.

GCF(1934,1939) = 1
LCM(1934,1939) = ( 1934 × 1939) / 1
LCM(1934,1939) = 3750026 / 1
LCM(1934,1939) = 3750026

Properties of LCM 1934 and 1939

(i) The LCM of 1939 and 1934 is associative

LCM of 1934 and 1939 = LCM of 1939 and 1934

Related Least Common Multiples of 1934

Related Least Common Multiples of 1939

Frequently Asked Questions on LCM of 1934 and 1939

1. What is the LCM of 1934 and 1939?

Answer: LCM of 1934 and 1939 is 3750026.

2. What are the Factors of 1934?

Answer: Factors of 1934 are 1, 2, 967, 1934. There are 4 integers that are factors of 1934. The greatest factor of 1934 is 1934.

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 1934 and 1939?

Answer:

Least Common Multiple of 1934 and 1939 = 3750026

Step 1: Find the prime factorization of 1934

1934 = 2 x 967

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 = 3750026 = 2 x 7 x 277 x 967

Step 4: Therefore, the least common multiple of 1934 and 1939 is 3750026.