Least Common Multiple of 7617 and 7621

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 7621 the smallest integer that is 58049157 that is divisible by both numbers.

Least Common Multiple (LCM) of 7617 and 7621 is 58049157.

LCM(7617,7621) = 58049157

LCM of 7617 and 7621

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

LCM of:
and

Least Common Multiple of 7617 and 7621

LCM of 7617 and 7621 is 58049157

Least common multiple can be found by multiplying the highest exponent prime factors of 7617 and 7621. First we will calculate the prime factors of 7617 and 7621.

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 7621


7621 7621
1

Prime factors of 7621 are 7621. Prime factorization of 7621 in exponential form is:

7621 = 76211

Now multiplying the highest exponent prime factors to calculate the LCM of 7617 and 7621.

LCM(7617,7621) = 31×25391×76211
LCM(7617,7621) = 58049157

Factors of 7617

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

1, 3, 2539, 7617

Factors of 7621

List of positive integer factors of 7621 that divides 7621 without a remainder.

1, 7621

Least Common Multiple of 7617 and 7621 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 7621, than apply into the LCM equation.

GCF(7617,7621) = 1
LCM(7617,7621) = ( 7617 × 7621) / 1
LCM(7617,7621) = 58049157 / 1
LCM(7617,7621) = 58049157

Properties of LCM 7617 and 7621

(i) The LCM of 7621 and 7617 is associative

LCM of 7617 and 7621 = LCM of 7621 and 7617

Related Least Common Multiples of 7617

Related Least Common Multiples of 7621

Frequently Asked Questions on LCM of 7617 and 7621

1. What is the LCM of 7617 and 7621?

Answer: LCM of 7617 and 7621 is 58049157.

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 7621?

Answer: Factors of 7621 are 1, 7621. There are 2 integers that are factors of 7621. The greatest factor of 7621 is 7621.

4. How to Find the LCM of 7617 and 7621?

Answer:

Least Common Multiple of 7617 and 7621 = 58049157

Step 1: Find the prime factorization of 7617

7617 = 3 x 2539

Step 2: Find the prime factorization of 7621

7621 = 7621

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

LCM = 58049157 = 3 x 2539 x 7621

Step 4: Therefore, the least common multiple of 7617 and 7621 is 58049157.