Least Common Multiple of 1608 and 1615

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 1615 the smallest integer that is 2596920 that is divisible by both numbers.

Least Common Multiple (LCM) of 1608 and 1615 is 2596920.

LCM(1608,1615) = 2596920

LCM of 1608 and 1615

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

LCM of:
and

Least Common Multiple of 1608 and 1615

LCM of 1608 and 1615 is 2596920

Least common multiple can be found by multiplying the highest exponent prime factors of 1608 and 1615. First we will calculate the prime factors of 1608 and 1615.

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 1615


5 1615
17 323
19 19
1

Prime factors of 1615 are 5, 17,19. Prime factorization of 1615 in exponential form is:

1615 = 51×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1608 and 1615.

LCM(1608,1615) = 23×31×51×171×191×671
LCM(1608,1615) = 2596920

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 1615

List of positive integer factors of 1615 that divides 1615 without a remainder.

1, 5, 17, 19, 85, 95, 323, 1615

Least Common Multiple of 1608 and 1615 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 1615, than apply into the LCM equation.

GCF(1608,1615) = 1
LCM(1608,1615) = ( 1608 × 1615) / 1
LCM(1608,1615) = 2596920 / 1
LCM(1608,1615) = 2596920

Properties of LCM 1608 and 1615

(i) The LCM of 1615 and 1608 is associative

LCM of 1608 and 1615 = LCM of 1615 and 1608

Related Least Common Multiples of 1608

Related Least Common Multiples of 1615

Frequently Asked Questions on LCM of 1608 and 1615

1. What is the LCM of 1608 and 1615?

Answer: LCM of 1608 and 1615 is 2596920.

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 1615?

Answer: Factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615. There are 8 integers that are factors of 1615. The greatest factor of 1615 is 1615.

4. How to Find the LCM of 1608 and 1615?

Answer:

Least Common Multiple of 1608 and 1615 = 2596920

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 1615

1615 = 5 x 17 x 19

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

LCM = 2596920 = 2 x 2 x 2 x 3 x 5 x 17 x 19 x 67

Step 4: Therefore, the least common multiple of 1608 and 1615 is 2596920.