Least Common Multiple of 952 and 959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 952 and 959 the smallest integer that is 130424 that is divisible by both numbers.

Least Common Multiple (LCM) of 952 and 959 is 130424.

LCM(952,959) = 130424

LCM of 952 and 959

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

LCM of:
and

Least Common Multiple of 952 and 959

LCM of 952 and 959 is 130424

Least common multiple can be found by multiplying the highest exponent prime factors of 952 and 959. First we will calculate the prime factors of 952 and 959.

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

Prime Factorization of 959


7 959
137 137
1

Prime factors of 959 are 7,137. Prime factorization of 959 in exponential form is:

959 = 71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 952 and 959.

LCM(952,959) = 23×71×171×1371
LCM(952,959) = 130424

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

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Least Common Multiple of 952 and 959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 952 and 959, than apply into the LCM equation.

GCF(952,959) = 7
LCM(952,959) = ( 952 × 959) / 7
LCM(952,959) = 912968 / 7
LCM(952,959) = 130424

Properties of LCM 952 and 959

(i) The LCM of 959 and 952 is associative

LCM of 952 and 959 = LCM of 959 and 952

Related Least Common Multiples of 952

Related Least Common Multiples of 959

Frequently Asked Questions on LCM of 952 and 959

1. What is the LCM of 952 and 959?

Answer: LCM of 952 and 959 is 130424.

2. 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.

3. What are the Factors of 959?

Answer: Factors of 959 are 1, 7, 137, 959. There are 4 integers that are factors of 959. The greatest factor of 959 is 959.

4. How to Find the LCM of 952 and 959?

Answer:

Least Common Multiple of 952 and 959 = 130424

Step 1: Find the prime factorization of 952

952 = 2 x 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 959

959 = 7 x 137

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

LCM = 130424 = 2 x 2 x 2 x 7 x 17 x 137

Step 4: Therefore, the least common multiple of 952 and 959 is 130424.