Least Common Multiple of 1940 and 1944

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 1944 the smallest integer that is 942840 that is divisible by both numbers.

Least Common Multiple (LCM) of 1940 and 1944 is 942840.

LCM(1940,1944) = 942840

LCM of 1940 and 1944

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

LCM of:
and

Least Common Multiple of 1940 and 1944

LCM of 1940 and 1944 is 942840

Least common multiple can be found by multiplying the highest exponent prime factors of 1940 and 1944. First we will calculate the prime factors of 1940 and 1944.

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 1944


2 1944
2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 1944 are 2,3. Prime factorization of 1944 in exponential form is:

1944 = 23×35

Now multiplying the highest exponent prime factors to calculate the LCM of 1940 and 1944.

LCM(1940,1944) = 23×35×51×971
LCM(1940,1944) = 942840

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 1944

List of positive integer factors of 1944 that divides 1944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944

Least Common Multiple of 1940 and 1944 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 1944, than apply into the LCM equation.

GCF(1940,1944) = 4
LCM(1940,1944) = ( 1940 × 1944) / 4
LCM(1940,1944) = 3771360 / 4
LCM(1940,1944) = 942840

Properties of LCM 1940 and 1944

(i) The LCM of 1944 and 1940 is associative

LCM of 1940 and 1944 = LCM of 1944 and 1940

Related Least Common Multiples of 1940

Related Least Common Multiples of 1944

Frequently Asked Questions on LCM of 1940 and 1944

1. What is the LCM of 1940 and 1944?

Answer: LCM of 1940 and 1944 is 942840.

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 1944?

Answer: Factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944. There are 24 integers that are factors of 1944. The greatest factor of 1944 is 1944.

4. How to Find the LCM of 1940 and 1944?

Answer:

Least Common Multiple of 1940 and 1944 = 942840

Step 1: Find the prime factorization of 1940

1940 = 2 x 2 x 5 x 97

Step 2: Find the prime factorization of 1944

1944 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3

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

LCM = 942840 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 97

Step 4: Therefore, the least common multiple of 1940 and 1944 is 942840.