Least Common Multiple of 1664 and 1668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1664 and 1668 the smallest integer that is 693888 that is divisible by both numbers.

Least Common Multiple (LCM) of 1664 and 1668 is 693888.

LCM(1664,1668) = 693888

LCM of 1664 and 1668

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

LCM of:
and

Least Common Multiple of 1664 and 1668

LCM of 1664 and 1668 is 693888

Least common multiple can be found by multiplying the highest exponent prime factors of 1664 and 1668. First we will calculate the prime factors of 1664 and 1668.

Prime Factorization of 1664


2 1664
2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 1664 are 2,13. Prime factorization of 1664 in exponential form is:

1664 = 27×131

Prime Factorization of 1668


2 1668
2 834
3 417
139 139
1

Prime factors of 1668 are 2, 3,139. Prime factorization of 1668 in exponential form is:

1668 = 22×31×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 1664 and 1668.

LCM(1664,1668) = 27×31×131×1391
LCM(1664,1668) = 693888

Factors of 1664

List of positive integer factors of 1664 that divides 1664 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664

Factors of 1668

List of positive integer factors of 1668 that divides 1668 without a remainder.

1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668

Least Common Multiple of 1664 and 1668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1664 and 1668, than apply into the LCM equation.

GCF(1664,1668) = 4
LCM(1664,1668) = ( 1664 × 1668) / 4
LCM(1664,1668) = 2775552 / 4
LCM(1664,1668) = 693888

Properties of LCM 1664 and 1668

(i) The LCM of 1668 and 1664 is associative

LCM of 1664 and 1668 = LCM of 1668 and 1664

Related Least Common Multiples of 1664

Related Least Common Multiples of 1668

Frequently Asked Questions on LCM of 1664 and 1668

1. What is the LCM of 1664 and 1668?

Answer: LCM of 1664 and 1668 is 693888.

2. What are the Factors of 1664?

Answer: Factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664. There are 16 integers that are factors of 1664. The greatest factor of 1664 is 1664.

3. What are the Factors of 1668?

Answer: Factors of 1668 are 1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668. There are 12 integers that are factors of 1668. The greatest factor of 1668 is 1668.

4. How to Find the LCM of 1664 and 1668?

Answer:

Least Common Multiple of 1664 and 1668 = 693888

Step 1: Find the prime factorization of 1664

1664 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13

Step 2: Find the prime factorization of 1668

1668 = 2 x 2 x 3 x 139

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

LCM = 693888 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 139

Step 4: Therefore, the least common multiple of 1664 and 1668 is 693888.