Least Common Multiple of 7617 and 7622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7617 and 7622 the smallest integer that is 58056774 that is divisible by both numbers.

Least Common Multiple (LCM) of 7617 and 7622 is 58056774.

LCM(7617,7622) = 58056774

LCM of 7617 and 7622

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

LCM of:
and

Least Common Multiple of 7617 and 7622

LCM of 7617 and 7622 is 58056774

Least common multiple can be found by multiplying the highest exponent prime factors of 7617 and 7622. First we will calculate the prime factors of 7617 and 7622.

Prime Factorization of 7617


3 7617
2539 2539
1

Prime factors of 7617 are 3,2539. Prime factorization of 7617 in exponential form is:

7617 = 31×25391

Prime Factorization of 7622


2 7622
37 3811
103 103
1

Prime factors of 7622 are 2, 37,103. Prime factorization of 7622 in exponential form is:

7622 = 21×371×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7617 and 7622.

LCM(7617,7622) = 21×31×371×1031×25391
LCM(7617,7622) = 58056774

Factors of 7617

List of positive integer factors of 7617 that divides 7617 without a remainder.

1, 3, 2539, 7617

Factors of 7622

List of positive integer factors of 7622 that divides 7622 without a remainder.

1, 2, 37, 74, 103, 206, 3811, 7622

Least Common Multiple of 7617 and 7622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7617 and 7622, than apply into the LCM equation.

GCF(7617,7622) = 1
LCM(7617,7622) = ( 7617 × 7622) / 1
LCM(7617,7622) = 58056774 / 1
LCM(7617,7622) = 58056774

Properties of LCM 7617 and 7622

(i) The LCM of 7622 and 7617 is associative

LCM of 7617 and 7622 = LCM of 7622 and 7617

Related Least Common Multiples of 7617

Related Least Common Multiples of 7622

Frequently Asked Questions on LCM of 7617 and 7622

1. What is the LCM of 7617 and 7622?

Answer: LCM of 7617 and 7622 is 58056774.

2. What are the Factors of 7617?

Answer: Factors of 7617 are 1, 3, 2539, 7617. There are 4 integers that are factors of 7617. The greatest factor of 7617 is 7617.

3. What are the Factors of 7622?

Answer: Factors of 7622 are 1, 2, 37, 74, 103, 206, 3811, 7622. There are 8 integers that are factors of 7622. The greatest factor of 7622 is 7622.

4. How to Find the LCM of 7617 and 7622?

Answer:

Least Common Multiple of 7617 and 7622 = 58056774

Step 1: Find the prime factorization of 7617

7617 = 3 x 2539

Step 2: Find the prime factorization of 7622

7622 = 2 x 37 x 103

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

LCM = 58056774 = 2 x 3 x 37 x 103 x 2539

Step 4: Therefore, the least common multiple of 7617 and 7622 is 58056774.