Least Common Multiple of 1944 and 1950

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 1950 the smallest integer that is 631800 that is divisible by both numbers.

Least Common Multiple (LCM) of 1944 and 1950 is 631800.

LCM(1944,1950) = 631800

LCM of 1944 and 1950

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

LCM of:
and

Least Common Multiple of 1944 and 1950

LCM of 1944 and 1950 is 631800

Least common multiple can be found by multiplying the highest exponent prime factors of 1944 and 1950. First we will calculate the prime factors of 1944 and 1950.

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 1950


2 1950
3 975
5 325
5 65
13 13
1

Prime factors of 1950 are 2, 3, 5,13. Prime factorization of 1950 in exponential form is:

1950 = 21×31×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1944 and 1950.

LCM(1944,1950) = 23×35×52×131
LCM(1944,1950) = 631800

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 1950

List of positive integer factors of 1950 that divides 1950 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950

Least Common Multiple of 1944 and 1950 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 1950, than apply into the LCM equation.

GCF(1944,1950) = 6
LCM(1944,1950) = ( 1944 × 1950) / 6
LCM(1944,1950) = 3790800 / 6
LCM(1944,1950) = 631800

Properties of LCM 1944 and 1950

(i) The LCM of 1950 and 1944 is associative

LCM of 1944 and 1950 = LCM of 1950 and 1944

Related Least Common Multiples of 1944

Related Least Common Multiples of 1950

Frequently Asked Questions on LCM of 1944 and 1950

1. What is the LCM of 1944 and 1950?

Answer: LCM of 1944 and 1950 is 631800.

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 1950?

Answer: Factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950. There are 24 integers that are factors of 1950. The greatest factor of 1950 is 1950.

4. How to Find the LCM of 1944 and 1950?

Answer:

Least Common Multiple of 1944 and 1950 = 631800

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 1950

1950 = 2 x 3 x 5 x 5 x 13

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

LCM = 631800 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 13

Step 4: Therefore, the least common multiple of 1944 and 1950 is 631800.