Least Common Multiple of 7622 and 7626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7622 and 7626 the smallest integer that is 29062686 that is divisible by both numbers.

Least Common Multiple (LCM) of 7622 and 7626 is 29062686.

LCM(7622,7626) = 29062686

LCM of 7622 and 7626

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

LCM of:
and

Least Common Multiple of 7622 and 7626

LCM of 7622 and 7626 is 29062686

Least common multiple can be found by multiplying the highest exponent prime factors of 7622 and 7626. First we will calculate the prime factors of 7622 and 7626.

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

Prime Factorization of 7626


2 7626
3 3813
31 1271
41 41
1

Prime factors of 7626 are 2, 3, 31,41. Prime factorization of 7626 in exponential form is:

7626 = 21×31×311×411

Now multiplying the highest exponent prime factors to calculate the LCM of 7622 and 7626.

LCM(7622,7626) = 21×31×311×371×411×1031
LCM(7622,7626) = 29062686

Factors of 7622

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

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

Factors of 7626

List of positive integer factors of 7626 that divides 7626 without a remainder.

1, 2, 3, 6, 31, 41, 62, 82, 93, 123, 186, 246, 1271, 2542, 3813, 7626

Least Common Multiple of 7622 and 7626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7622 and 7626, than apply into the LCM equation.

GCF(7622,7626) = 2
LCM(7622,7626) = ( 7622 × 7626) / 2
LCM(7622,7626) = 58125372 / 2
LCM(7622,7626) = 29062686

Properties of LCM 7622 and 7626

(i) The LCM of 7626 and 7622 is associative

LCM of 7622 and 7626 = LCM of 7626 and 7622

Related Least Common Multiples of 7622

Related Least Common Multiples of 7626

Frequently Asked Questions on LCM of 7622 and 7626

1. What is the LCM of 7622 and 7626?

Answer: LCM of 7622 and 7626 is 29062686.

2. 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.

3. What are the Factors of 7626?

Answer: Factors of 7626 are 1, 2, 3, 6, 31, 41, 62, 82, 93, 123, 186, 246, 1271, 2542, 3813, 7626. There are 16 integers that are factors of 7626. The greatest factor of 7626 is 7626.

4. How to Find the LCM of 7622 and 7626?

Answer:

Least Common Multiple of 7622 and 7626 = 29062686

Step 1: Find the prime factorization of 7622

7622 = 2 x 37 x 103

Step 2: Find the prime factorization of 7626

7626 = 2 x 3 x 31 x 41

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

LCM = 29062686 = 2 x 3 x 31 x 37 x 41 x 103

Step 4: Therefore, the least common multiple of 7622 and 7626 is 29062686.