Least Common Multiple of 1621 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 1621 and 1626 the smallest integer that is 2635746 that is divisible by both numbers.

Least Common Multiple (LCM) of 1621 and 1626 is 2635746.

LCM(1621,1626) = 2635746

LCM of 1621 and 1626

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

LCM of:
and

Least Common Multiple of 1621 and 1626

LCM of 1621 and 1626 is 2635746

Least common multiple can be found by multiplying the highest exponent prime factors of 1621 and 1626. First we will calculate the prime factors of 1621 and 1626.

Prime Factorization of 1621


1621 1621
1

Prime factors of 1621 are 1621. Prime factorization of 1621 in exponential form is:

1621 = 16211

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 1621 and 1626.

LCM(1621,1626) = 21×31×2711×16211
LCM(1621,1626) = 2635746

Factors of 1621

List of positive integer factors of 1621 that divides 1621 without a remainder.

1, 1621

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 1621 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 1621 and 1626, than apply into the LCM equation.

GCF(1621,1626) = 1
LCM(1621,1626) = ( 1621 × 1626) / 1
LCM(1621,1626) = 2635746 / 1
LCM(1621,1626) = 2635746

Properties of LCM 1621 and 1626

(i) The LCM of 1626 and 1621 is associative

LCM of 1621 and 1626 = LCM of 1626 and 1621

Related Least Common Multiples of 1621

Related Least Common Multiples of 1626

Frequently Asked Questions on LCM of 1621 and 1626

1. What is the LCM of 1621 and 1626?

Answer: LCM of 1621 and 1626 is 2635746.

2. What are the Factors of 1621?

Answer: Factors of 1621 are 1, 1621. There are 2 integers that are factors of 1621. The greatest factor of 1621 is 1621.

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 1621 and 1626?

Answer:

Least Common Multiple of 1621 and 1626 = 2635746

Step 1: Find the prime factorization of 1621

1621 = 1621

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 = 2635746 = 2 x 3 x 271 x 1621

Step 4: Therefore, the least common multiple of 1621 and 1626 is 2635746.