Least Common Multiple of 5607 and 5615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5607 and 5615 the smallest integer that is 31483305 that is divisible by both numbers.

Least Common Multiple (LCM) of 5607 and 5615 is 31483305.

LCM(5607,5615) = 31483305

LCM of 5607 and 5615

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

LCM of:
and

Least Common Multiple of 5607 and 5615

LCM of 5607 and 5615 is 31483305

Least common multiple can be found by multiplying the highest exponent prime factors of 5607 and 5615. First we will calculate the prime factors of 5607 and 5615.

Prime Factorization of 5607


3 5607
3 1869
7 623
89 89
1

Prime factors of 5607 are 3, 7,89. Prime factorization of 5607 in exponential form is:

5607 = 32×71×891

Prime Factorization of 5615


5 5615
1123 1123
1

Prime factors of 5615 are 5,1123. Prime factorization of 5615 in exponential form is:

5615 = 51×11231

Now multiplying the highest exponent prime factors to calculate the LCM of 5607 and 5615.

LCM(5607,5615) = 32×51×71×891×11231
LCM(5607,5615) = 31483305

Factors of 5607

List of positive integer factors of 5607 that divides 5607 without a remainder.

1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607

Factors of 5615

List of positive integer factors of 5615 that divides 5615 without a remainder.

1, 5, 1123, 5615

Least Common Multiple of 5607 and 5615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5607 and 5615, than apply into the LCM equation.

GCF(5607,5615) = 1
LCM(5607,5615) = ( 5607 × 5615) / 1
LCM(5607,5615) = 31483305 / 1
LCM(5607,5615) = 31483305

Properties of LCM 5607 and 5615

(i) The LCM of 5615 and 5607 is associative

LCM of 5607 and 5615 = LCM of 5615 and 5607

Related Least Common Multiples of 5607

Related Least Common Multiples of 5615

Frequently Asked Questions on LCM of 5607 and 5615

1. What is the LCM of 5607 and 5615?

Answer: LCM of 5607 and 5615 is 31483305.

2. What are the Factors of 5607?

Answer: Factors of 5607 are 1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607. There are 12 integers that are factors of 5607. The greatest factor of 5607 is 5607.

3. What are the Factors of 5615?

Answer: Factors of 5615 are 1, 5, 1123, 5615. There are 4 integers that are factors of 5615. The greatest factor of 5615 is 5615.

4. How to Find the LCM of 5607 and 5615?

Answer:

Least Common Multiple of 5607 and 5615 = 31483305

Step 1: Find the prime factorization of 5607

5607 = 3 x 3 x 7 x 89

Step 2: Find the prime factorization of 5615

5615 = 5 x 1123

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

LCM = 31483305 = 3 x 3 x 5 x 7 x 89 x 1123

Step 4: Therefore, the least common multiple of 5607 and 5615 is 31483305.