Least Common Multiple of 1940 and 1943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1940 and 1943 the smallest integer that is 3769420 that is divisible by both numbers.

Least Common Multiple (LCM) of 1940 and 1943 is 3769420.

LCM(1940,1943) = 3769420

LCM of 1940 and 1943

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

LCM of:
and

Least Common Multiple of 1940 and 1943

LCM of 1940 and 1943 is 3769420

Least common multiple can be found by multiplying the highest exponent prime factors of 1940 and 1943. First we will calculate the prime factors of 1940 and 1943.

Prime Factorization of 1940


2 1940
2 970
5 485
97 97
1

Prime factors of 1940 are 2, 5,97. Prime factorization of 1940 in exponential form is:

1940 = 22×51×971

Prime Factorization of 1943


29 1943
67 67
1

Prime factors of 1943 are 29,67. Prime factorization of 1943 in exponential form is:

1943 = 291×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1940 and 1943.

LCM(1940,1943) = 22×51×291×671×971
LCM(1940,1943) = 3769420

Factors of 1940

List of positive integer factors of 1940 that divides 1940 without a remainder.

1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940

Factors of 1943

List of positive integer factors of 1943 that divides 1943 without a remainder.

1, 29, 67, 1943

Least Common Multiple of 1940 and 1943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1940 and 1943, than apply into the LCM equation.

GCF(1940,1943) = 1
LCM(1940,1943) = ( 1940 × 1943) / 1
LCM(1940,1943) = 3769420 / 1
LCM(1940,1943) = 3769420

Properties of LCM 1940 and 1943

(i) The LCM of 1943 and 1940 is associative

LCM of 1940 and 1943 = LCM of 1943 and 1940

Related Least Common Multiples of 1940

Related Least Common Multiples of 1943

Frequently Asked Questions on LCM of 1940 and 1943

1. What is the LCM of 1940 and 1943?

Answer: LCM of 1940 and 1943 is 3769420.

2. What are the Factors of 1940?

Answer: Factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940. There are 12 integers that are factors of 1940. The greatest factor of 1940 is 1940.

3. What are the Factors of 1943?

Answer: Factors of 1943 are 1, 29, 67, 1943. There are 4 integers that are factors of 1943. The greatest factor of 1943 is 1943.

4. How to Find the LCM of 1940 and 1943?

Answer:

Least Common Multiple of 1940 and 1943 = 3769420

Step 1: Find the prime factorization of 1940

1940 = 2 x 2 x 5 x 97

Step 2: Find the prime factorization of 1943

1943 = 29 x 67

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

LCM = 3769420 = 2 x 2 x 5 x 29 x 67 x 97

Step 4: Therefore, the least common multiple of 1940 and 1943 is 3769420.