Least Common Multiple of 1622 and 1626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1622 and 1626 the smallest integer that is 1318686 that is divisible by both numbers.

Least Common Multiple (LCM) of 1622 and 1626 is 1318686.

LCM(1622,1626) = 1318686

LCM of 1622 and 1626

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

LCM of:
and

Least Common Multiple of 1622 and 1626

LCM of 1622 and 1626 is 1318686

Least common multiple can be found by multiplying the highest exponent prime factors of 1622 and 1626. First we will calculate the prime factors of 1622 and 1626.

Prime Factorization of 1622


2 1622
811 811
1

Prime factors of 1622 are 2,811. Prime factorization of 1622 in exponential form is:

1622 = 21×8111

Prime Factorization of 1626


2 1626
3 813
271 271
1

Prime factors of 1626 are 2, 3,271. Prime factorization of 1626 in exponential form is:

1626 = 21×31×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 1622 and 1626.

LCM(1622,1626) = 21×31×2711×8111
LCM(1622,1626) = 1318686

Factors of 1622

List of positive integer factors of 1622 that divides 1622 without a remainder.

1, 2, 811, 1622

Factors of 1626

List of positive integer factors of 1626 that divides 1626 without a remainder.

1, 2, 3, 6, 271, 542, 813, 1626

Least Common Multiple of 1622 and 1626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1622 and 1626, than apply into the LCM equation.

GCF(1622,1626) = 2
LCM(1622,1626) = ( 1622 × 1626) / 2
LCM(1622,1626) = 2637372 / 2
LCM(1622,1626) = 1318686

Properties of LCM 1622 and 1626

(i) The LCM of 1626 and 1622 is associative

LCM of 1622 and 1626 = LCM of 1626 and 1622

Related Least Common Multiples of 1622

Related Least Common Multiples of 1626

Frequently Asked Questions on LCM of 1622 and 1626

1. What is the LCM of 1622 and 1626?

Answer: LCM of 1622 and 1626 is 1318686.

2. What are the Factors of 1622?

Answer: Factors of 1622 are 1, 2, 811, 1622. There are 4 integers that are factors of 1622. The greatest factor of 1622 is 1622.

3. What are the Factors of 1626?

Answer: Factors of 1626 are 1, 2, 3, 6, 271, 542, 813, 1626. There are 8 integers that are factors of 1626. The greatest factor of 1626 is 1626.

4. How to Find the LCM of 1622 and 1626?

Answer:

Least Common Multiple of 1622 and 1626 = 1318686

Step 1: Find the prime factorization of 1622

1622 = 2 x 811

Step 2: Find the prime factorization of 1626

1626 = 2 x 3 x 271

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

LCM = 1318686 = 2 x 3 x 271 x 811

Step 4: Therefore, the least common multiple of 1622 and 1626 is 1318686.