Least Common Multiple of 1944 and 1948

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 1948 the smallest integer that is 946728 that is divisible by both numbers.

Least Common Multiple (LCM) of 1944 and 1948 is 946728.

LCM(1944,1948) = 946728

LCM of 1944 and 1948

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

LCM of:
and

Least Common Multiple of 1944 and 1948

LCM of 1944 and 1948 is 946728

Least common multiple can be found by multiplying the highest exponent prime factors of 1944 and 1948. First we will calculate the prime factors of 1944 and 1948.

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 1948


2 1948
2 974
487 487
1

Prime factors of 1948 are 2,487. Prime factorization of 1948 in exponential form is:

1948 = 22×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 1944 and 1948.

LCM(1944,1948) = 23×35×4871
LCM(1944,1948) = 946728

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 1948

List of positive integer factors of 1948 that divides 1948 without a remainder.

1, 2, 4, 487, 974, 1948

Least Common Multiple of 1944 and 1948 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 1948, than apply into the LCM equation.

GCF(1944,1948) = 4
LCM(1944,1948) = ( 1944 × 1948) / 4
LCM(1944,1948) = 3786912 / 4
LCM(1944,1948) = 946728

Properties of LCM 1944 and 1948

(i) The LCM of 1948 and 1944 is associative

LCM of 1944 and 1948 = LCM of 1948 and 1944

Related Least Common Multiples of 1944

Related Least Common Multiples of 1948

Frequently Asked Questions on LCM of 1944 and 1948

1. What is the LCM of 1944 and 1948?

Answer: LCM of 1944 and 1948 is 946728.

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 1948?

Answer: Factors of 1948 are 1, 2, 4, 487, 974, 1948. There are 6 integers that are factors of 1948. The greatest factor of 1948 is 1948.

4. How to Find the LCM of 1944 and 1948?

Answer:

Least Common Multiple of 1944 and 1948 = 946728

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 1948

1948 = 2 x 2 x 487

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

LCM = 946728 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 487

Step 4: Therefore, the least common multiple of 1944 and 1948 is 946728.