Least Common Multiple of 8949 and 8956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8949 and 8956 the smallest integer that is 80147244 that is divisible by both numbers.

Least Common Multiple (LCM) of 8949 and 8956 is 80147244.

LCM(8949,8956) = 80147244

LCM of 8949 and 8956

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

LCM of:
and

Least Common Multiple of 8949 and 8956

LCM of 8949 and 8956 is 80147244

Least common multiple can be found by multiplying the highest exponent prime factors of 8949 and 8956. First we will calculate the prime factors of 8949 and 8956.

Prime Factorization of 8949


3 8949
19 2983
157 157
1

Prime factors of 8949 are 3, 19,157. Prime factorization of 8949 in exponential form is:

8949 = 31×191×1571

Prime Factorization of 8956


2 8956
2 4478
2239 2239
1

Prime factors of 8956 are 2,2239. Prime factorization of 8956 in exponential form is:

8956 = 22×22391

Now multiplying the highest exponent prime factors to calculate the LCM of 8949 and 8956.

LCM(8949,8956) = 22×31×191×1571×22391
LCM(8949,8956) = 80147244

Factors of 8949

List of positive integer factors of 8949 that divides 8949 without a remainder.

1, 3, 19, 57, 157, 471, 2983, 8949

Factors of 8956

List of positive integer factors of 8956 that divides 8956 without a remainder.

1, 2, 4, 2239, 4478, 8956

Least Common Multiple of 8949 and 8956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8949 and 8956, than apply into the LCM equation.

GCF(8949,8956) = 1
LCM(8949,8956) = ( 8949 × 8956) / 1
LCM(8949,8956) = 80147244 / 1
LCM(8949,8956) = 80147244

Properties of LCM 8949 and 8956

(i) The LCM of 8956 and 8949 is associative

LCM of 8949 and 8956 = LCM of 8956 and 8949

Related Least Common Multiples of 8949

Related Least Common Multiples of 8956

Frequently Asked Questions on LCM of 8949 and 8956

1. What is the LCM of 8949 and 8956?

Answer: LCM of 8949 and 8956 is 80147244.

2. What are the Factors of 8949?

Answer: Factors of 8949 are 1, 3, 19, 57, 157, 471, 2983, 8949. There are 8 integers that are factors of 8949. The greatest factor of 8949 is 8949.

3. What are the Factors of 8956?

Answer: Factors of 8956 are 1, 2, 4, 2239, 4478, 8956. There are 6 integers that are factors of 8956. The greatest factor of 8956 is 8956.

4. How to Find the LCM of 8949 and 8956?

Answer:

Least Common Multiple of 8949 and 8956 = 80147244

Step 1: Find the prime factorization of 8949

8949 = 3 x 19 x 157

Step 2: Find the prime factorization of 8956

8956 = 2 x 2 x 2239

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

LCM = 80147244 = 2 x 2 x 3 x 19 x 157 x 2239

Step 4: Therefore, the least common multiple of 8949 and 8956 is 80147244.