Least Common Multiple of 7628 and 7634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7628 and 7634 the smallest integer that is 29116076 that is divisible by both numbers.

Least Common Multiple (LCM) of 7628 and 7634 is 29116076.

LCM(7628,7634) = 29116076

LCM of 7628 and 7634

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

LCM of:
and

Least Common Multiple of 7628 and 7634

LCM of 7628 and 7634 is 29116076

Least common multiple can be found by multiplying the highest exponent prime factors of 7628 and 7634. First we will calculate the prime factors of 7628 and 7634.

Prime Factorization of 7628


2 7628
2 3814
1907 1907
1

Prime factors of 7628 are 2,1907. Prime factorization of 7628 in exponential form is:

7628 = 22×19071

Prime Factorization of 7634


2 7634
11 3817
347 347
1

Prime factors of 7634 are 2, 11,347. Prime factorization of 7634 in exponential form is:

7634 = 21×111×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 7628 and 7634.

LCM(7628,7634) = 22×111×3471×19071
LCM(7628,7634) = 29116076

Factors of 7628

List of positive integer factors of 7628 that divides 7628 without a remainder.

1, 2, 4, 1907, 3814, 7628

Factors of 7634

List of positive integer factors of 7634 that divides 7634 without a remainder.

1, 2, 11, 22, 347, 694, 3817, 7634

Least Common Multiple of 7628 and 7634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7628 and 7634, than apply into the LCM equation.

GCF(7628,7634) = 2
LCM(7628,7634) = ( 7628 × 7634) / 2
LCM(7628,7634) = 58232152 / 2
LCM(7628,7634) = 29116076

Properties of LCM 7628 and 7634

(i) The LCM of 7634 and 7628 is associative

LCM of 7628 and 7634 = LCM of 7634 and 7628

Related Least Common Multiples of 7628

Related Least Common Multiples of 7634

Frequently Asked Questions on LCM of 7628 and 7634

1. What is the LCM of 7628 and 7634?

Answer: LCM of 7628 and 7634 is 29116076.

2. What are the Factors of 7628?

Answer: Factors of 7628 are 1, 2, 4, 1907, 3814, 7628. There are 6 integers that are factors of 7628. The greatest factor of 7628 is 7628.

3. What are the Factors of 7634?

Answer: Factors of 7634 are 1, 2, 11, 22, 347, 694, 3817, 7634. There are 8 integers that are factors of 7634. The greatest factor of 7634 is 7634.

4. How to Find the LCM of 7628 and 7634?

Answer:

Least Common Multiple of 7628 and 7634 = 29116076

Step 1: Find the prime factorization of 7628

7628 = 2 x 2 x 1907

Step 2: Find the prime factorization of 7634

7634 = 2 x 11 x 347

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

LCM = 29116076 = 2 x 2 x 11 x 347 x 1907

Step 4: Therefore, the least common multiple of 7628 and 7634 is 29116076.