Least Common Multiple of 1929 and 1934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1929 and 1934 the smallest integer that is 3730686 that is divisible by both numbers.

Least Common Multiple (LCM) of 1929 and 1934 is 3730686.

LCM(1929,1934) = 3730686

LCM of 1929 and 1934

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

LCM of:
and

Least Common Multiple of 1929 and 1934

LCM of 1929 and 1934 is 3730686

Least common multiple can be found by multiplying the highest exponent prime factors of 1929 and 1934. First we will calculate the prime factors of 1929 and 1934.

Prime Factorization of 1929


3 1929
643 643
1

Prime factors of 1929 are 3,643. Prime factorization of 1929 in exponential form is:

1929 = 31×6431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1929 and 1934.

LCM(1929,1934) = 21×31×6431×9671
LCM(1929,1934) = 3730686

Factors of 1929

List of positive integer factors of 1929 that divides 1929 without a remainder.

1, 3, 643, 1929

Factors of 1934

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

1, 2, 967, 1934

Least Common Multiple of 1929 and 1934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1929 and 1934, than apply into the LCM equation.

GCF(1929,1934) = 1
LCM(1929,1934) = ( 1929 × 1934) / 1
LCM(1929,1934) = 3730686 / 1
LCM(1929,1934) = 3730686

Properties of LCM 1929 and 1934

(i) The LCM of 1934 and 1929 is associative

LCM of 1929 and 1934 = LCM of 1934 and 1929

Related Least Common Multiples of 1929

Related Least Common Multiples of 1934

Frequently Asked Questions on LCM of 1929 and 1934

1. What is the LCM of 1929 and 1934?

Answer: LCM of 1929 and 1934 is 3730686.

2. What are the Factors of 1929?

Answer: Factors of 1929 are 1, 3, 643, 1929. There are 4 integers that are factors of 1929. The greatest factor of 1929 is 1929.

3. 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.

4. How to Find the LCM of 1929 and 1934?

Answer:

Least Common Multiple of 1929 and 1934 = 3730686

Step 1: Find the prime factorization of 1929

1929 = 3 x 643

Step 2: Find the prime factorization of 1934

1934 = 2 x 967

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

LCM = 3730686 = 2 x 3 x 643 x 967

Step 4: Therefore, the least common multiple of 1929 and 1934 is 3730686.