Least Common Multiple of 944 and 948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 944 and 948 the smallest integer that is 223728 that is divisible by both numbers.

Least Common Multiple (LCM) of 944 and 948 is 223728.

LCM(944,948) = 223728

LCM of 944 and 948

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

LCM of:
and

Least Common Multiple of 944 and 948

LCM of 944 and 948 is 223728

Least common multiple can be found by multiplying the highest exponent prime factors of 944 and 948. First we will calculate the prime factors of 944 and 948.

Prime Factorization of 944


2 944
2 472
2 236
2 118
59 59
1

Prime factors of 944 are 2,59. Prime factorization of 944 in exponential form is:

944 = 24×591

Prime Factorization of 948


2 948
2 474
3 237
79 79
1

Prime factors of 948 are 2, 3,79. Prime factorization of 948 in exponential form is:

948 = 22×31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 944 and 948.

LCM(944,948) = 24×31×591×791
LCM(944,948) = 223728

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Least Common Multiple of 944 and 948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 944 and 948, than apply into the LCM equation.

GCF(944,948) = 4
LCM(944,948) = ( 944 × 948) / 4
LCM(944,948) = 894912 / 4
LCM(944,948) = 223728

Properties of LCM 944 and 948

(i) The LCM of 948 and 944 is associative

LCM of 944 and 948 = LCM of 948 and 944

Related Least Common Multiples of 944

Related Least Common Multiples of 948

Frequently Asked Questions on LCM of 944 and 948

1. What is the LCM of 944 and 948?

Answer: LCM of 944 and 948 is 223728.

2. What are the Factors of 944?

Answer: Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. There are 10 integers that are factors of 944. The greatest factor of 944 is 944.

3. What are the Factors of 948?

Answer: Factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. There are 12 integers that are factors of 948. The greatest factor of 948 is 948.

4. How to Find the LCM of 944 and 948?

Answer:

Least Common Multiple of 944 and 948 = 223728

Step 1: Find the prime factorization of 944

944 = 2 x 2 x 2 x 2 x 59

Step 2: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

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

LCM = 223728 = 2 x 2 x 2 x 2 x 3 x 59 x 79

Step 4: Therefore, the least common multiple of 944 and 948 is 223728.