Least Common Multiple of 2628 and 2635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2628 and 2635 the smallest integer that is 6924780 that is divisible by both numbers.

Least Common Multiple (LCM) of 2628 and 2635 is 6924780.

LCM(2628,2635) = 6924780

LCM of 2628 and 2635

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

LCM of:
and

Least Common Multiple of 2628 and 2635

LCM of 2628 and 2635 is 6924780

Least common multiple can be found by multiplying the highest exponent prime factors of 2628 and 2635. First we will calculate the prime factors of 2628 and 2635.

Prime Factorization of 2628


2 2628
2 1314
3 657
3 219
73 73
1

Prime factors of 2628 are 2, 3,73. Prime factorization of 2628 in exponential form is:

2628 = 22×32×731

Prime Factorization of 2635


5 2635
17 527
31 31
1

Prime factors of 2635 are 5, 17,31. Prime factorization of 2635 in exponential form is:

2635 = 51×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2628 and 2635.

LCM(2628,2635) = 22×32×51×171×311×731
LCM(2628,2635) = 6924780

Factors of 2628

List of positive integer factors of 2628 that divides 2628 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628

Factors of 2635

List of positive integer factors of 2635 that divides 2635 without a remainder.

1, 5, 17, 31, 85, 155, 527, 2635

Least Common Multiple of 2628 and 2635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2628 and 2635, than apply into the LCM equation.

GCF(2628,2635) = 1
LCM(2628,2635) = ( 2628 × 2635) / 1
LCM(2628,2635) = 6924780 / 1
LCM(2628,2635) = 6924780

Properties of LCM 2628 and 2635

(i) The LCM of 2635 and 2628 is associative

LCM of 2628 and 2635 = LCM of 2635 and 2628

Related Least Common Multiples of 2628

Related Least Common Multiples of 2635

Frequently Asked Questions on LCM of 2628 and 2635

1. What is the LCM of 2628 and 2635?

Answer: LCM of 2628 and 2635 is 6924780.

2. What are the Factors of 2628?

Answer: Factors of 2628 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628. There are 18 integers that are factors of 2628. The greatest factor of 2628 is 2628.

3. What are the Factors of 2635?

Answer: Factors of 2635 are 1, 5, 17, 31, 85, 155, 527, 2635. There are 8 integers that are factors of 2635. The greatest factor of 2635 is 2635.

4. How to Find the LCM of 2628 and 2635?

Answer:

Least Common Multiple of 2628 and 2635 = 6924780

Step 1: Find the prime factorization of 2628

2628 = 2 x 2 x 3 x 3 x 73

Step 2: Find the prime factorization of 2635

2635 = 5 x 17 x 31

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

LCM = 6924780 = 2 x 2 x 3 x 3 x 5 x 17 x 31 x 73

Step 4: Therefore, the least common multiple of 2628 and 2635 is 6924780.