Least Common Multiple of 949 and 952

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 952 the smallest integer that is 903448 that is divisible by both numbers.

Least Common Multiple (LCM) of 949 and 952 is 903448.

LCM(949,952) = 903448

LCM of 949 and 952

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

LCM of:
and

Least Common Multiple of 949 and 952

LCM of 949 and 952 is 903448

Least common multiple can be found by multiplying the highest exponent prime factors of 949 and 952. First we will calculate the prime factors of 949 and 952.

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 952


2 952
2 476
2 238
7 119
17 17
1

Prime factors of 952 are 2, 7,17. Prime factorization of 952 in exponential form is:

952 = 23×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 949 and 952.

LCM(949,952) = 23×71×131×171×731
LCM(949,952) = 903448

Factors of 949

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

1, 13, 73, 949

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Least Common Multiple of 949 and 952 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 952, than apply into the LCM equation.

GCF(949,952) = 1
LCM(949,952) = ( 949 × 952) / 1
LCM(949,952) = 903448 / 1
LCM(949,952) = 903448

Properties of LCM 949 and 952

(i) The LCM of 952 and 949 is associative

LCM of 949 and 952 = LCM of 952 and 949

Related Least Common Multiples of 949

Related Least Common Multiples of 952

Frequently Asked Questions on LCM of 949 and 952

1. What is the LCM of 949 and 952?

Answer: LCM of 949 and 952 is 903448.

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 952?

Answer: Factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. There are 16 integers that are factors of 952. The greatest factor of 952 is 952.

4. How to Find the LCM of 949 and 952?

Answer:

Least Common Multiple of 949 and 952 = 903448

Step 1: Find the prime factorization of 949

949 = 13 x 73

Step 2: Find the prime factorization of 952

952 = 2 x 2 x 2 x 7 x 17

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

LCM = 903448 = 2 x 2 x 2 x 7 x 13 x 17 x 73

Step 4: Therefore, the least common multiple of 949 and 952 is 903448.