Least Common Multiple of 1608 and 1610

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 1610 the smallest integer that is 1294440 that is divisible by both numbers.

Least Common Multiple (LCM) of 1608 and 1610 is 1294440.

LCM(1608,1610) = 1294440

LCM of 1608 and 1610

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

LCM of:
and

Least Common Multiple of 1608 and 1610

LCM of 1608 and 1610 is 1294440

Least common multiple can be found by multiplying the highest exponent prime factors of 1608 and 1610. First we will calculate the prime factors of 1608 and 1610.

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 1610


2 1610
5 805
7 161
23 23
1

Prime factors of 1610 are 2, 5, 7,23. Prime factorization of 1610 in exponential form is:

1610 = 21×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1608 and 1610.

LCM(1608,1610) = 23×31×51×71×231×671
LCM(1608,1610) = 1294440

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 1610

List of positive integer factors of 1610 that divides 1610 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610

Least Common Multiple of 1608 and 1610 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 1610, than apply into the LCM equation.

GCF(1608,1610) = 2
LCM(1608,1610) = ( 1608 × 1610) / 2
LCM(1608,1610) = 2588880 / 2
LCM(1608,1610) = 1294440

Properties of LCM 1608 and 1610

(i) The LCM of 1610 and 1608 is associative

LCM of 1608 and 1610 = LCM of 1610 and 1608

Related Least Common Multiples of 1608

Related Least Common Multiples of 1610

Frequently Asked Questions on LCM of 1608 and 1610

1. What is the LCM of 1608 and 1610?

Answer: LCM of 1608 and 1610 is 1294440.

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 1610?

Answer: Factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610. There are 16 integers that are factors of 1610. The greatest factor of 1610 is 1610.

4. How to Find the LCM of 1608 and 1610?

Answer:

Least Common Multiple of 1608 and 1610 = 1294440

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 1610

1610 = 2 x 5 x 7 x 23

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

LCM = 1294440 = 2 x 2 x 2 x 3 x 5 x 7 x 23 x 67

Step 4: Therefore, the least common multiple of 1608 and 1610 is 1294440.