Least Common Multiple of 5601 and 5607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5601 and 5607 the smallest integer that is 10468269 that is divisible by both numbers.

Least Common Multiple (LCM) of 5601 and 5607 is 10468269.

LCM(5601,5607) = 10468269

LCM of 5601 and 5607

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

LCM of:
and

Least Common Multiple of 5601 and 5607

LCM of 5601 and 5607 is 10468269

Least common multiple can be found by multiplying the highest exponent prime factors of 5601 and 5607. First we will calculate the prime factors of 5601 and 5607.

Prime Factorization of 5601


3 5601
1867 1867
1

Prime factors of 5601 are 3,1867. Prime factorization of 5601 in exponential form is:

5601 = 31×18671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5601 and 5607.

LCM(5601,5607) = 32×71×891×18671
LCM(5601,5607) = 10468269

Factors of 5601

List of positive integer factors of 5601 that divides 5601 without a remainder.

1, 3, 1867, 5601

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

Least Common Multiple of 5601 and 5607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5601 and 5607, than apply into the LCM equation.

GCF(5601,5607) = 3
LCM(5601,5607) = ( 5601 × 5607) / 3
LCM(5601,5607) = 31404807 / 3
LCM(5601,5607) = 10468269

Properties of LCM 5601 and 5607

(i) The LCM of 5607 and 5601 is associative

LCM of 5601 and 5607 = LCM of 5607 and 5601

Related Least Common Multiples of 5601

Related Least Common Multiples of 5607

Frequently Asked Questions on LCM of 5601 and 5607

1. What is the LCM of 5601 and 5607?

Answer: LCM of 5601 and 5607 is 10468269.

2. What are the Factors of 5601?

Answer: Factors of 5601 are 1, 3, 1867, 5601. There are 4 integers that are factors of 5601. The greatest factor of 5601 is 5601.

3. 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.

4. How to Find the LCM of 5601 and 5607?

Answer:

Least Common Multiple of 5601 and 5607 = 10468269

Step 1: Find the prime factorization of 5601

5601 = 3 x 1867

Step 2: Find the prime factorization of 5607

5607 = 3 x 3 x 7 x 89

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

LCM = 10468269 = 3 x 3 x 7 x 89 x 1867

Step 4: Therefore, the least common multiple of 5601 and 5607 is 10468269.