Least Common Multiple of 8952 and 8958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8952 and 8958 the smallest integer that is 13365336 that is divisible by both numbers.

Least Common Multiple (LCM) of 8952 and 8958 is 13365336.

LCM(8952,8958) = 13365336

LCM of 8952 and 8958

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

LCM of:
and

Least Common Multiple of 8952 and 8958

LCM of 8952 and 8958 is 13365336

Least common multiple can be found by multiplying the highest exponent prime factors of 8952 and 8958. First we will calculate the prime factors of 8952 and 8958.

Prime Factorization of 8952


2 8952
2 4476
2 2238
3 1119
373 373
1

Prime factors of 8952 are 2, 3,373. Prime factorization of 8952 in exponential form is:

8952 = 23×31×3731

Prime Factorization of 8958


2 8958
3 4479
1493 1493
1

Prime factors of 8958 are 2, 3,1493. Prime factorization of 8958 in exponential form is:

8958 = 21×31×14931

Now multiplying the highest exponent prime factors to calculate the LCM of 8952 and 8958.

LCM(8952,8958) = 23×31×3731×14931
LCM(8952,8958) = 13365336

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 373, 746, 1119, 1492, 2238, 2984, 4476, 8952

Factors of 8958

List of positive integer factors of 8958 that divides 8958 without a remainder.

1, 2, 3, 6, 1493, 2986, 4479, 8958

Least Common Multiple of 8952 and 8958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8952 and 8958, than apply into the LCM equation.

GCF(8952,8958) = 6
LCM(8952,8958) = ( 8952 × 8958) / 6
LCM(8952,8958) = 80192016 / 6
LCM(8952,8958) = 13365336

Properties of LCM 8952 and 8958

(i) The LCM of 8958 and 8952 is associative

LCM of 8952 and 8958 = LCM of 8958 and 8952

Related Least Common Multiples of 8952

Related Least Common Multiples of 8958

Frequently Asked Questions on LCM of 8952 and 8958

1. What is the LCM of 8952 and 8958?

Answer: LCM of 8952 and 8958 is 13365336.

2. What are the Factors of 8952?

Answer: Factors of 8952 are 1, 2, 3, 4, 6, 8, 12, 24, 373, 746, 1119, 1492, 2238, 2984, 4476, 8952. There are 16 integers that are factors of 8952. The greatest factor of 8952 is 8952.

3. What are the Factors of 8958?

Answer: Factors of 8958 are 1, 2, 3, 6, 1493, 2986, 4479, 8958. There are 8 integers that are factors of 8958. The greatest factor of 8958 is 8958.

4. How to Find the LCM of 8952 and 8958?

Answer:

Least Common Multiple of 8952 and 8958 = 13365336

Step 1: Find the prime factorization of 8952

8952 = 2 x 2 x 2 x 3 x 373

Step 2: Find the prime factorization of 8958

8958 = 2 x 3 x 1493

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

LCM = 13365336 = 2 x 2 x 2 x 3 x 373 x 1493

Step 4: Therefore, the least common multiple of 8952 and 8958 is 13365336.