Least Common Multiple of 1608 and 1611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1608 and 1611 the smallest integer that is 863496 that is divisible by both numbers.

Least Common Multiple (LCM) of 1608 and 1611 is 863496.

LCM(1608,1611) = 863496

LCM of 1608 and 1611

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

LCM of:
and

Least Common Multiple of 1608 and 1611

LCM of 1608 and 1611 is 863496

Least common multiple can be found by multiplying the highest exponent prime factors of 1608 and 1611. First we will calculate the prime factors of 1608 and 1611.

Prime Factorization of 1608


2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 1608 are 2, 3,67. Prime factorization of 1608 in exponential form is:

1608 = 23×31×671

Prime Factorization of 1611


3 1611
3 537
179 179
1

Prime factors of 1611 are 3,179. Prime factorization of 1611 in exponential form is:

1611 = 32×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 1608 and 1611.

LCM(1608,1611) = 23×32×671×1791
LCM(1608,1611) = 863496

Factors of 1608

List of positive integer factors of 1608 that divides 1608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608

Factors of 1611

List of positive integer factors of 1611 that divides 1611 without a remainder.

1, 3, 9, 179, 537, 1611

Least Common Multiple of 1608 and 1611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1608 and 1611, than apply into the LCM equation.

GCF(1608,1611) = 3
LCM(1608,1611) = ( 1608 × 1611) / 3
LCM(1608,1611) = 2590488 / 3
LCM(1608,1611) = 863496

Properties of LCM 1608 and 1611

(i) The LCM of 1611 and 1608 is associative

LCM of 1608 and 1611 = LCM of 1611 and 1608

Related Least Common Multiples of 1608

Related Least Common Multiples of 1611

Frequently Asked Questions on LCM of 1608 and 1611

1. What is the LCM of 1608 and 1611?

Answer: LCM of 1608 and 1611 is 863496.

2. What are the Factors of 1608?

Answer: Factors of 1608 are 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608. There are 16 integers that are factors of 1608. The greatest factor of 1608 is 1608.

3. What are the Factors of 1611?

Answer: Factors of 1611 are 1, 3, 9, 179, 537, 1611. There are 6 integers that are factors of 1611. The greatest factor of 1611 is 1611.

4. How to Find the LCM of 1608 and 1611?

Answer:

Least Common Multiple of 1608 and 1611 = 863496

Step 1: Find the prime factorization of 1608

1608 = 2 x 2 x 2 x 3 x 67

Step 2: Find the prime factorization of 1611

1611 = 3 x 3 x 179

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

LCM = 863496 = 2 x 2 x 2 x 3 x 3 x 67 x 179

Step 4: Therefore, the least common multiple of 1608 and 1611 is 863496.