Least Common Multiple of 1938 and 1946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1938 and 1946 the smallest integer that is 1885674 that is divisible by both numbers.

Least Common Multiple (LCM) of 1938 and 1946 is 1885674.

LCM(1938,1946) = 1885674

LCM of 1938 and 1946

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

LCM of:
and

Least Common Multiple of 1938 and 1946

LCM of 1938 and 1946 is 1885674

Least common multiple can be found by multiplying the highest exponent prime factors of 1938 and 1946. First we will calculate the prime factors of 1938 and 1946.

Prime Factorization of 1938


2 1938
3 969
17 323
19 19
1

Prime factors of 1938 are 2, 3, 17,19. Prime factorization of 1938 in exponential form is:

1938 = 21×31×171×191

Prime Factorization of 1946


2 1946
7 973
139 139
1

Prime factors of 1946 are 2, 7,139. Prime factorization of 1946 in exponential form is:

1946 = 21×71×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 1938 and 1946.

LCM(1938,1946) = 21×31×71×171×191×1391
LCM(1938,1946) = 1885674

Factors of 1938

List of positive integer factors of 1938 that divides 1938 without a remainder.

1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938

Factors of 1946

List of positive integer factors of 1946 that divides 1946 without a remainder.

1, 2, 7, 14, 139, 278, 973, 1946

Least Common Multiple of 1938 and 1946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1938 and 1946, than apply into the LCM equation.

GCF(1938,1946) = 2
LCM(1938,1946) = ( 1938 × 1946) / 2
LCM(1938,1946) = 3771348 / 2
LCM(1938,1946) = 1885674

Properties of LCM 1938 and 1946

(i) The LCM of 1946 and 1938 is associative

LCM of 1938 and 1946 = LCM of 1946 and 1938

Related Least Common Multiples of 1938

Related Least Common Multiples of 1946

Frequently Asked Questions on LCM of 1938 and 1946

1. What is the LCM of 1938 and 1946?

Answer: LCM of 1938 and 1946 is 1885674.

2. What are the Factors of 1938?

Answer: Factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938. There are 16 integers that are factors of 1938. The greatest factor of 1938 is 1938.

3. What are the Factors of 1946?

Answer: Factors of 1946 are 1, 2, 7, 14, 139, 278, 973, 1946. There are 8 integers that are factors of 1946. The greatest factor of 1946 is 1946.

4. How to Find the LCM of 1938 and 1946?

Answer:

Least Common Multiple of 1938 and 1946 = 1885674

Step 1: Find the prime factorization of 1938

1938 = 2 x 3 x 17 x 19

Step 2: Find the prime factorization of 1946

1946 = 2 x 7 x 139

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

LCM = 1885674 = 2 x 3 x 7 x 17 x 19 x 139

Step 4: Therefore, the least common multiple of 1938 and 1946 is 1885674.