Least Common Multiple of 1938 and 1942

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 1942 the smallest integer that is 1881798 that is divisible by both numbers.

Least Common Multiple (LCM) of 1938 and 1942 is 1881798.

LCM(1938,1942) = 1881798

LCM of 1938 and 1942

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

LCM of:
and

Least Common Multiple of 1938 and 1942

LCM of 1938 and 1942 is 1881798

Least common multiple can be found by multiplying the highest exponent prime factors of 1938 and 1942. First we will calculate the prime factors of 1938 and 1942.

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 1942


2 1942
971 971
1

Prime factors of 1942 are 2,971. Prime factorization of 1942 in exponential form is:

1942 = 21×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 1938 and 1942.

LCM(1938,1942) = 21×31×171×191×9711
LCM(1938,1942) = 1881798

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 1942

List of positive integer factors of 1942 that divides 1942 without a remainder.

1, 2, 971, 1942

Least Common Multiple of 1938 and 1942 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 1942, than apply into the LCM equation.

GCF(1938,1942) = 2
LCM(1938,1942) = ( 1938 × 1942) / 2
LCM(1938,1942) = 3763596 / 2
LCM(1938,1942) = 1881798

Properties of LCM 1938 and 1942

(i) The LCM of 1942 and 1938 is associative

LCM of 1938 and 1942 = LCM of 1942 and 1938

Related Least Common Multiples of 1938

Related Least Common Multiples of 1942

Frequently Asked Questions on LCM of 1938 and 1942

1. What is the LCM of 1938 and 1942?

Answer: LCM of 1938 and 1942 is 1881798.

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 1942?

Answer: Factors of 1942 are 1, 2, 971, 1942. There are 4 integers that are factors of 1942. The greatest factor of 1942 is 1942.

4. How to Find the LCM of 1938 and 1942?

Answer:

Least Common Multiple of 1938 and 1942 = 1881798

Step 1: Find the prime factorization of 1938

1938 = 2 x 3 x 17 x 19

Step 2: Find the prime factorization of 1942

1942 = 2 x 971

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

LCM = 1881798 = 2 x 3 x 17 x 19 x 971

Step 4: Therefore, the least common multiple of 1938 and 1942 is 1881798.