Least Common Multiple of 1934 and 1937

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 1937 the smallest integer that is 3746158 that is divisible by both numbers.

Least Common Multiple (LCM) of 1934 and 1937 is 3746158.

LCM(1934,1937) = 3746158

LCM of 1934 and 1937

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

LCM of:
and

Least Common Multiple of 1934 and 1937

LCM of 1934 and 1937 is 3746158

Least common multiple can be found by multiplying the highest exponent prime factors of 1934 and 1937. First we will calculate the prime factors of 1934 and 1937.

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 1937


13 1937
149 149
1

Prime factors of 1937 are 13,149. Prime factorization of 1937 in exponential form is:

1937 = 131×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 1934 and 1937.

LCM(1934,1937) = 21×131×1491×9671
LCM(1934,1937) = 3746158

Factors of 1934

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

1, 2, 967, 1934

Factors of 1937

List of positive integer factors of 1937 that divides 1937 without a remainder.

1, 13, 149, 1937

Least Common Multiple of 1934 and 1937 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 1937, than apply into the LCM equation.

GCF(1934,1937) = 1
LCM(1934,1937) = ( 1934 × 1937) / 1
LCM(1934,1937) = 3746158 / 1
LCM(1934,1937) = 3746158

Properties of LCM 1934 and 1937

(i) The LCM of 1937 and 1934 is associative

LCM of 1934 and 1937 = LCM of 1937 and 1934

Related Least Common Multiples of 1934

Related Least Common Multiples of 1937

Frequently Asked Questions on LCM of 1934 and 1937

1. What is the LCM of 1934 and 1937?

Answer: LCM of 1934 and 1937 is 3746158.

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 1937?

Answer: Factors of 1937 are 1, 13, 149, 1937. There are 4 integers that are factors of 1937. The greatest factor of 1937 is 1937.

4. How to Find the LCM of 1934 and 1937?

Answer:

Least Common Multiple of 1934 and 1937 = 3746158

Step 1: Find the prime factorization of 1934

1934 = 2 x 967

Step 2: Find the prime factorization of 1937

1937 = 13 x 149

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

LCM = 3746158 = 2 x 13 x 149 x 967

Step 4: Therefore, the least common multiple of 1934 and 1937 is 3746158.