Least Common Multiple of 7621 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 7621 and 7622 the smallest integer that is 58087262 that is divisible by both numbers.

Least Common Multiple (LCM) of 7621 and 7622 is 58087262.

LCM(7621,7622) = 58087262

LCM of 7621 and 7622

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

LCM of:
and

Least Common Multiple of 7621 and 7622

LCM of 7621 and 7622 is 58087262

Least common multiple can be found by multiplying the highest exponent prime factors of 7621 and 7622. First we will calculate the prime factors of 7621 and 7622.

Prime Factorization of 7621


7621 7621
1

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

7621 = 76211

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 7621 and 7622.

LCM(7621,7622) = 21×371×1031×76211
LCM(7621,7622) = 58087262

Factors of 7621

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

1, 7621

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 7621 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 7621 and 7622, than apply into the LCM equation.

GCF(7621,7622) = 1
LCM(7621,7622) = ( 7621 × 7622) / 1
LCM(7621,7622) = 58087262 / 1
LCM(7621,7622) = 58087262

Properties of LCM 7621 and 7622

(i) The LCM of 7622 and 7621 is associative

LCM of 7621 and 7622 = LCM of 7622 and 7621

Frequently Asked Questions on LCM of 7621 and 7622

1. What is the LCM of 7621 and 7622?

Answer: LCM of 7621 and 7622 is 58087262.

2. 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.

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 7621 and 7622?

Answer:

Least Common Multiple of 7621 and 7622 = 58087262

Step 1: Find the prime factorization of 7621

7621 = 7621

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 = 58087262 = 2 x 37 x 103 x 7621

Step 4: Therefore, the least common multiple of 7621 and 7622 is 58087262.