Least Common Multiple of 5614 and 5622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5614 and 5622 the smallest integer that is 15780954 that is divisible by both numbers.

Least Common Multiple (LCM) of 5614 and 5622 is 15780954.

LCM(5614,5622) = 15780954

LCM of 5614 and 5622

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

LCM of:
and

Least Common Multiple of 5614 and 5622

LCM of 5614 and 5622 is 15780954

Least common multiple can be found by multiplying the highest exponent prime factors of 5614 and 5622. First we will calculate the prime factors of 5614 and 5622.

Prime Factorization of 5614


2 5614
7 2807
401 401
1

Prime factors of 5614 are 2, 7,401. Prime factorization of 5614 in exponential form is:

5614 = 21×71×4011

Prime Factorization of 5622


2 5622
3 2811
937 937
1

Prime factors of 5622 are 2, 3,937. Prime factorization of 5622 in exponential form is:

5622 = 21×31×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 5614 and 5622.

LCM(5614,5622) = 21×31×71×4011×9371
LCM(5614,5622) = 15780954

Factors of 5614

List of positive integer factors of 5614 that divides 5614 without a remainder.

1, 2, 7, 14, 401, 802, 2807, 5614

Factors of 5622

List of positive integer factors of 5622 that divides 5622 without a remainder.

1, 2, 3, 6, 937, 1874, 2811, 5622

Least Common Multiple of 5614 and 5622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5614 and 5622, than apply into the LCM equation.

GCF(5614,5622) = 2
LCM(5614,5622) = ( 5614 × 5622) / 2
LCM(5614,5622) = 31561908 / 2
LCM(5614,5622) = 15780954

Properties of LCM 5614 and 5622

(i) The LCM of 5622 and 5614 is associative

LCM of 5614 and 5622 = LCM of 5622 and 5614

Related Least Common Multiples of 5614

Related Least Common Multiples of 5622

Frequently Asked Questions on LCM of 5614 and 5622

1. What is the LCM of 5614 and 5622?

Answer: LCM of 5614 and 5622 is 15780954.

2. What are the Factors of 5614?

Answer: Factors of 5614 are 1, 2, 7, 14, 401, 802, 2807, 5614. There are 8 integers that are factors of 5614. The greatest factor of 5614 is 5614.

3. What are the Factors of 5622?

Answer: Factors of 5622 are 1, 2, 3, 6, 937, 1874, 2811, 5622. There are 8 integers that are factors of 5622. The greatest factor of 5622 is 5622.

4. How to Find the LCM of 5614 and 5622?

Answer:

Least Common Multiple of 5614 and 5622 = 15780954

Step 1: Find the prime factorization of 5614

5614 = 2 x 7 x 401

Step 2: Find the prime factorization of 5622

5622 = 2 x 3 x 937

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

LCM = 15780954 = 2 x 3 x 7 x 401 x 937

Step 4: Therefore, the least common multiple of 5614 and 5622 is 15780954.