Least Common Multiple of 7049 and 7056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7049 and 7056 the smallest integer that is 7105392 that is divisible by both numbers.

Least Common Multiple (LCM) of 7049 and 7056 is 7105392.

LCM(7049,7056) = 7105392

LCM of 7049 and 7056

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

LCM of:
and

Least Common Multiple of 7049 and 7056

LCM of 7049 and 7056 is 7105392

Least common multiple can be found by multiplying the highest exponent prime factors of 7049 and 7056. First we will calculate the prime factors of 7049 and 7056.

Prime Factorization of 7049


7 7049
19 1007
53 53
1

Prime factors of 7049 are 7, 19,53. Prime factorization of 7049 in exponential form is:

7049 = 71×191×531

Prime Factorization of 7056


2 7056
2 3528
2 1764
2 882
3 441
3 147
7 49
7 7
1

Prime factors of 7056 are 2, 3,7. Prime factorization of 7056 in exponential form is:

7056 = 24×32×72

Now multiplying the highest exponent prime factors to calculate the LCM of 7049 and 7056.

LCM(7049,7056) = 24×32×72×191×531
LCM(7049,7056) = 7105392

Factors of 7049

List of positive integer factors of 7049 that divides 7049 without a remainder.

1, 7, 19, 53, 133, 371, 1007, 7049

Factors of 7056

List of positive integer factors of 7056 that divides 7056 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056

Least Common Multiple of 7049 and 7056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7049 and 7056, than apply into the LCM equation.

GCF(7049,7056) = 7
LCM(7049,7056) = ( 7049 × 7056) / 7
LCM(7049,7056) = 49737744 / 7
LCM(7049,7056) = 7105392

Properties of LCM 7049 and 7056

(i) The LCM of 7056 and 7049 is associative

LCM of 7049 and 7056 = LCM of 7056 and 7049

Related Least Common Multiples of 7049

Related Least Common Multiples of 7056

Frequently Asked Questions on LCM of 7049 and 7056

1. What is the LCM of 7049 and 7056?

Answer: LCM of 7049 and 7056 is 7105392.

2. What are the Factors of 7049?

Answer: Factors of 7049 are 1, 7, 19, 53, 133, 371, 1007, 7049. There are 8 integers that are factors of 7049. The greatest factor of 7049 is 7049.

3. What are the Factors of 7056?

Answer: Factors of 7056 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056. There are 45 integers that are factors of 7056. The greatest factor of 7056 is 7056.

4. How to Find the LCM of 7049 and 7056?

Answer:

Least Common Multiple of 7049 and 7056 = 7105392

Step 1: Find the prime factorization of 7049

7049 = 7 x 19 x 53

Step 2: Find the prime factorization of 7056

7056 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

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

LCM = 7105392 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 19 x 53

Step 4: Therefore, the least common multiple of 7049 and 7056 is 7105392.