Least Common Multiple of 1944 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 1944 and 1947 the smallest integer that is 1261656 that is divisible by both numbers.

Least Common Multiple (LCM) of 1944 and 1947 is 1261656.

LCM(1944,1947) = 1261656

LCM of 1944 and 1947

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

LCM of:
and

Least Common Multiple of 1944 and 1947

LCM of 1944 and 1947 is 1261656

Least common multiple can be found by multiplying the highest exponent prime factors of 1944 and 1947. First we will calculate the prime factors of 1944 and 1947.

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

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 1944 and 1947.

LCM(1944,1947) = 23×35×111×591
LCM(1944,1947) = 1261656

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

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 1944 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 1944 and 1947, than apply into the LCM equation.

GCF(1944,1947) = 3
LCM(1944,1947) = ( 1944 × 1947) / 3
LCM(1944,1947) = 3784968 / 3
LCM(1944,1947) = 1261656

Properties of LCM 1944 and 1947

(i) The LCM of 1947 and 1944 is associative

LCM of 1944 and 1947 = LCM of 1947 and 1944

Related Least Common Multiples of 1944

Related Least Common Multiples of 1947

Frequently Asked Questions on LCM of 1944 and 1947

1. What is the LCM of 1944 and 1947?

Answer: LCM of 1944 and 1947 is 1261656.

2. 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.

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 1944 and 1947?

Answer:

Least Common Multiple of 1944 and 1947 = 1261656

Step 1: Find the prime factorization of 1944

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

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 = 1261656 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 11 x 59

Step 4: Therefore, the least common multiple of 1944 and 1947 is 1261656.