Least Common Multiple of 949 and 956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 949 and 956 the smallest integer that is 907244 that is divisible by both numbers.

Least Common Multiple (LCM) of 949 and 956 is 907244.

LCM(949,956) = 907244

LCM of 949 and 956

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

LCM of:
and

Least Common Multiple of 949 and 956

LCM of 949 and 956 is 907244

Least common multiple can be found by multiplying the highest exponent prime factors of 949 and 956. First we will calculate the prime factors of 949 and 956.

Prime Factorization of 949


13 949
73 73
1

Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:

949 = 131×731

Prime Factorization of 956


2 956
2 478
239 239
1

Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:

956 = 22×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 949 and 956.

LCM(949,956) = 22×131×731×2391
LCM(949,956) = 907244

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Least Common Multiple of 949 and 956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 949 and 956, than apply into the LCM equation.

GCF(949,956) = 1
LCM(949,956) = ( 949 × 956) / 1
LCM(949,956) = 907244 / 1
LCM(949,956) = 907244

Properties of LCM 949 and 956

(i) The LCM of 956 and 949 is associative

LCM of 949 and 956 = LCM of 956 and 949

Related Least Common Multiples of 949

Related Least Common Multiples of 956

Frequently Asked Questions on LCM of 949 and 956

1. What is the LCM of 949 and 956?

Answer: LCM of 949 and 956 is 907244.

2. What are the Factors of 949?

Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.

3. What are the Factors of 956?

Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.

4. How to Find the LCM of 949 and 956?

Answer:

Least Common Multiple of 949 and 956 = 907244

Step 1: Find the prime factorization of 949

949 = 13 x 73

Step 2: Find the prime factorization of 956

956 = 2 x 2 x 239

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

LCM = 907244 = 2 x 2 x 13 x 73 x 239

Step 4: Therefore, the least common multiple of 949 and 956 is 907244.