Least Common Multiple of 1940 and 1947

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 1947 the smallest integer that is 3777180 that is divisible by both numbers.

Least Common Multiple (LCM) of 1940 and 1947 is 3777180.

LCM(1940,1947) = 3777180

LCM of 1940 and 1947

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

LCM of:
and

Least Common Multiple of 1940 and 1947

LCM of 1940 and 1947 is 3777180

Least common multiple can be found by multiplying the highest exponent prime factors of 1940 and 1947. First we will calculate the prime factors of 1940 and 1947.

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 1947


3 1947
11 649
59 59
1

Prime factors of 1947 are 3, 11,59. Prime factorization of 1947 in exponential form is:

1947 = 31×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1940 and 1947.

LCM(1940,1947) = 22×31×51×111×591×971
LCM(1940,1947) = 3777180

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 1947

List of positive integer factors of 1947 that divides 1947 without a remainder.

1, 3, 11, 33, 59, 177, 649, 1947

Least Common Multiple of 1940 and 1947 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 1947, than apply into the LCM equation.

GCF(1940,1947) = 1
LCM(1940,1947) = ( 1940 × 1947) / 1
LCM(1940,1947) = 3777180 / 1
LCM(1940,1947) = 3777180

Properties of LCM 1940 and 1947

(i) The LCM of 1947 and 1940 is associative

LCM of 1940 and 1947 = LCM of 1947 and 1940

Related Least Common Multiples of 1940

Related Least Common Multiples of 1947

Frequently Asked Questions on LCM of 1940 and 1947

1. What is the LCM of 1940 and 1947?

Answer: LCM of 1940 and 1947 is 3777180.

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 1947?

Answer: Factors of 1947 are 1, 3, 11, 33, 59, 177, 649, 1947. There are 8 integers that are factors of 1947. The greatest factor of 1947 is 1947.

4. How to Find the LCM of 1940 and 1947?

Answer:

Least Common Multiple of 1940 and 1947 = 3777180

Step 1: Find the prime factorization of 1940

1940 = 2 x 2 x 5 x 97

Step 2: Find the prime factorization of 1947

1947 = 3 x 11 x 59

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

LCM = 3777180 = 2 x 2 x 3 x 5 x 11 x 59 x 97

Step 4: Therefore, the least common multiple of 1940 and 1947 is 3777180.