Least Common Multiple of 5594 and 5601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5594 and 5601 the smallest integer that is 31331994 that is divisible by both numbers.

Least Common Multiple (LCM) of 5594 and 5601 is 31331994.

LCM(5594,5601) = 31331994

LCM of 5594 and 5601

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

LCM of:
and

Least Common Multiple of 5594 and 5601

LCM of 5594 and 5601 is 31331994

Least common multiple can be found by multiplying the highest exponent prime factors of 5594 and 5601. First we will calculate the prime factors of 5594 and 5601.

Prime Factorization of 5594


2 5594
2797 2797
1

Prime factors of 5594 are 2,2797. Prime factorization of 5594 in exponential form is:

5594 = 21×27971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5594 and 5601.

LCM(5594,5601) = 21×31×18671×27971
LCM(5594,5601) = 31331994

Factors of 5594

List of positive integer factors of 5594 that divides 5594 without a remainder.

1, 2, 2797, 5594

Factors of 5601

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

1, 3, 1867, 5601

Least Common Multiple of 5594 and 5601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5594 and 5601, than apply into the LCM equation.

GCF(5594,5601) = 1
LCM(5594,5601) = ( 5594 × 5601) / 1
LCM(5594,5601) = 31331994 / 1
LCM(5594,5601) = 31331994

Properties of LCM 5594 and 5601

(i) The LCM of 5601 and 5594 is associative

LCM of 5594 and 5601 = LCM of 5601 and 5594

Related Least Common Multiples of 5594

Related Least Common Multiples of 5601

Frequently Asked Questions on LCM of 5594 and 5601

1. What is the LCM of 5594 and 5601?

Answer: LCM of 5594 and 5601 is 31331994.

2. What are the Factors of 5594?

Answer: Factors of 5594 are 1, 2, 2797, 5594. There are 4 integers that are factors of 5594. The greatest factor of 5594 is 5594.

3. 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.

4. How to Find the LCM of 5594 and 5601?

Answer:

Least Common Multiple of 5594 and 5601 = 31331994

Step 1: Find the prime factorization of 5594

5594 = 2 x 2797

Step 2: Find the prime factorization of 5601

5601 = 3 x 1867

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

LCM = 31331994 = 2 x 3 x 1867 x 2797

Step 4: Therefore, the least common multiple of 5594 and 5601 is 31331994.