Least Common Multiple of 1616 and 1622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1616 and 1622 the smallest integer that is 1310576 that is divisible by both numbers.

Least Common Multiple (LCM) of 1616 and 1622 is 1310576.

LCM(1616,1622) = 1310576

LCM of 1616 and 1622

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

LCM of:
and

Least Common Multiple of 1616 and 1622

LCM of 1616 and 1622 is 1310576

Least common multiple can be found by multiplying the highest exponent prime factors of 1616 and 1622. First we will calculate the prime factors of 1616 and 1622.

Prime Factorization of 1616


2 1616
2 808
2 404
2 202
101 101
1

Prime factors of 1616 are 2,101. Prime factorization of 1616 in exponential form is:

1616 = 24×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1616 and 1622.

LCM(1616,1622) = 24×1011×8111
LCM(1616,1622) = 1310576

Factors of 1616

List of positive integer factors of 1616 that divides 1616 without a remainder.

1, 2, 4, 8, 16, 101, 202, 404, 808, 1616

Factors of 1622

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

1, 2, 811, 1622

Least Common Multiple of 1616 and 1622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1616 and 1622, than apply into the LCM equation.

GCF(1616,1622) = 2
LCM(1616,1622) = ( 1616 × 1622) / 2
LCM(1616,1622) = 2621152 / 2
LCM(1616,1622) = 1310576

Properties of LCM 1616 and 1622

(i) The LCM of 1622 and 1616 is associative

LCM of 1616 and 1622 = LCM of 1622 and 1616

Related Least Common Multiples of 1616

Related Least Common Multiples of 1622

Frequently Asked Questions on LCM of 1616 and 1622

1. What is the LCM of 1616 and 1622?

Answer: LCM of 1616 and 1622 is 1310576.

2. What are the Factors of 1616?

Answer: Factors of 1616 are 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616. There are 10 integers that are factors of 1616. The greatest factor of 1616 is 1616.

3. 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.

4. How to Find the LCM of 1616 and 1622?

Answer:

Least Common Multiple of 1616 and 1622 = 1310576

Step 1: Find the prime factorization of 1616

1616 = 2 x 2 x 2 x 2 x 101

Step 2: Find the prime factorization of 1622

1622 = 2 x 811

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

LCM = 1310576 = 2 x 2 x 2 x 2 x 101 x 811

Step 4: Therefore, the least common multiple of 1616 and 1622 is 1310576.