Least Common Multiple of 1628 and 1630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1628 and 1630 the smallest integer that is 1326820 that is divisible by both numbers.

Least Common Multiple (LCM) of 1628 and 1630 is 1326820.

LCM(1628,1630) = 1326820

LCM of 1628 and 1630

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

LCM of:
and

Least Common Multiple of 1628 and 1630

LCM of 1628 and 1630 is 1326820

Least common multiple can be found by multiplying the highest exponent prime factors of 1628 and 1630. First we will calculate the prime factors of 1628 and 1630.

Prime Factorization of 1628


2 1628
2 814
11 407
37 37
1

Prime factors of 1628 are 2, 11,37. Prime factorization of 1628 in exponential form is:

1628 = 22×111×371

Prime Factorization of 1630


2 1630
5 815
163 163
1

Prime factors of 1630 are 2, 5,163. Prime factorization of 1630 in exponential form is:

1630 = 21×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 1628 and 1630.

LCM(1628,1630) = 22×51×111×371×1631
LCM(1628,1630) = 1326820

Factors of 1628

List of positive integer factors of 1628 that divides 1628 without a remainder.

1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628

Factors of 1630

List of positive integer factors of 1630 that divides 1630 without a remainder.

1, 2, 5, 10, 163, 326, 815, 1630

Least Common Multiple of 1628 and 1630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1628 and 1630, than apply into the LCM equation.

GCF(1628,1630) = 2
LCM(1628,1630) = ( 1628 × 1630) / 2
LCM(1628,1630) = 2653640 / 2
LCM(1628,1630) = 1326820

Properties of LCM 1628 and 1630

(i) The LCM of 1630 and 1628 is associative

LCM of 1628 and 1630 = LCM of 1630 and 1628

Related Least Common Multiples of 1628

Related Least Common Multiples of 1630

Frequently Asked Questions on LCM of 1628 and 1630

1. What is the LCM of 1628 and 1630?

Answer: LCM of 1628 and 1630 is 1326820.

2. What are the Factors of 1628?

Answer: Factors of 1628 are 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628. There are 12 integers that are factors of 1628. The greatest factor of 1628 is 1628.

3. What are the Factors of 1630?

Answer: Factors of 1630 are 1, 2, 5, 10, 163, 326, 815, 1630. There are 8 integers that are factors of 1630. The greatest factor of 1630 is 1630.

4. How to Find the LCM of 1628 and 1630?

Answer:

Least Common Multiple of 1628 and 1630 = 1326820

Step 1: Find the prime factorization of 1628

1628 = 2 x 2 x 11 x 37

Step 2: Find the prime factorization of 1630

1630 = 2 x 5 x 163

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

LCM = 1326820 = 2 x 2 x 5 x 11 x 37 x 163

Step 4: Therefore, the least common multiple of 1628 and 1630 is 1326820.