Least Common Multiple of 1944 and 1949

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 1949 the smallest integer that is 3788856 that is divisible by both numbers.

Least Common Multiple (LCM) of 1944 and 1949 is 3788856.

LCM(1944,1949) = 3788856

LCM of 1944 and 1949

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

LCM of:
and

Least Common Multiple of 1944 and 1949

LCM of 1944 and 1949 is 3788856

Least common multiple can be found by multiplying the highest exponent prime factors of 1944 and 1949. First we will calculate the prime factors of 1944 and 1949.

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 1949


1949 1949
1

Prime factors of 1949 are 1949. Prime factorization of 1949 in exponential form is:

1949 = 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 1944 and 1949.

LCM(1944,1949) = 23×35×19491
LCM(1944,1949) = 3788856

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 1949

List of positive integer factors of 1949 that divides 1949 without a remainder.

1, 1949

Least Common Multiple of 1944 and 1949 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 1949, than apply into the LCM equation.

GCF(1944,1949) = 1
LCM(1944,1949) = ( 1944 × 1949) / 1
LCM(1944,1949) = 3788856 / 1
LCM(1944,1949) = 3788856

Properties of LCM 1944 and 1949

(i) The LCM of 1949 and 1944 is associative

LCM of 1944 and 1949 = LCM of 1949 and 1944

Related Least Common Multiples of 1944

Related Least Common Multiples of 1949

Frequently Asked Questions on LCM of 1944 and 1949

1. What is the LCM of 1944 and 1949?

Answer: LCM of 1944 and 1949 is 3788856.

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 1949?

Answer: Factors of 1949 are 1, 1949. There are 2 integers that are factors of 1949. The greatest factor of 1949 is 1949.

4. How to Find the LCM of 1944 and 1949?

Answer:

Least Common Multiple of 1944 and 1949 = 3788856

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 1949

1949 = 1949

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

LCM = 3788856 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 1949

Step 4: Therefore, the least common multiple of 1944 and 1949 is 3788856.