Least Common Multiple of 1932 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 1932 and 1939 the smallest integer that is 535164 that is divisible by both numbers.

Least Common Multiple (LCM) of 1932 and 1939 is 535164.

LCM(1932,1939) = 535164

LCM of 1932 and 1939

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

LCM of:
and

Least Common Multiple of 1932 and 1939

LCM of 1932 and 1939 is 535164

Least common multiple can be found by multiplying the highest exponent prime factors of 1932 and 1939. First we will calculate the prime factors of 1932 and 1939.

Prime Factorization of 1932


2 1932
2 966
3 483
7 161
23 23
1

Prime factors of 1932 are 2, 3, 7,23. Prime factorization of 1932 in exponential form is:

1932 = 22×31×71×231

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 1932 and 1939.

LCM(1932,1939) = 22×31×71×231×2771
LCM(1932,1939) = 535164

Factors of 1932

List of positive integer factors of 1932 that divides 1932 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932

Factors of 1939

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

1, 7, 277, 1939

Least Common Multiple of 1932 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 1932 and 1939, than apply into the LCM equation.

GCF(1932,1939) = 7
LCM(1932,1939) = ( 1932 × 1939) / 7
LCM(1932,1939) = 3746148 / 7
LCM(1932,1939) = 535164

Properties of LCM 1932 and 1939

(i) The LCM of 1939 and 1932 is associative

LCM of 1932 and 1939 = LCM of 1939 and 1932

Related Least Common Multiples of 1932

Related Least Common Multiples of 1939

Frequently Asked Questions on LCM of 1932 and 1939

1. What is the LCM of 1932 and 1939?

Answer: LCM of 1932 and 1939 is 535164.

2. What are the Factors of 1932?

Answer: Factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932. There are 24 integers that are factors of 1932. The greatest factor of 1932 is 1932.

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 1932 and 1939?

Answer:

Least Common Multiple of 1932 and 1939 = 535164

Step 1: Find the prime factorization of 1932

1932 = 2 x 2 x 3 x 7 x 23

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 = 535164 = 2 x 2 x 3 x 7 x 23 x 277

Step 4: Therefore, the least common multiple of 1932 and 1939 is 535164.