Least Common Multiple of 1604 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 1604 and 1610 the smallest integer that is 1291220 that is divisible by both numbers.

Least Common Multiple (LCM) of 1604 and 1610 is 1291220.

LCM(1604,1610) = 1291220

LCM of 1604 and 1610

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

LCM of:
and

Least Common Multiple of 1604 and 1610

LCM of 1604 and 1610 is 1291220

Least common multiple can be found by multiplying the highest exponent prime factors of 1604 and 1610. First we will calculate the prime factors of 1604 and 1610.

Prime Factorization of 1604


2 1604
2 802
401 401
1

Prime factors of 1604 are 2,401. Prime factorization of 1604 in exponential form is:

1604 = 22×4011

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 1604 and 1610.

LCM(1604,1610) = 22×51×71×231×4011
LCM(1604,1610) = 1291220

Factors of 1604

List of positive integer factors of 1604 that divides 1604 without a remainder.

1, 2, 4, 401, 802, 1604

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 1604 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 1604 and 1610, than apply into the LCM equation.

GCF(1604,1610) = 2
LCM(1604,1610) = ( 1604 × 1610) / 2
LCM(1604,1610) = 2582440 / 2
LCM(1604,1610) = 1291220

Properties of LCM 1604 and 1610

(i) The LCM of 1610 and 1604 is associative

LCM of 1604 and 1610 = LCM of 1610 and 1604

Related Least Common Multiples of 1604

Related Least Common Multiples of 1610

Frequently Asked Questions on LCM of 1604 and 1610

1. What is the LCM of 1604 and 1610?

Answer: LCM of 1604 and 1610 is 1291220.

2. What are the Factors of 1604?

Answer: Factors of 1604 are 1, 2, 4, 401, 802, 1604. There are 6 integers that are factors of 1604. The greatest factor of 1604 is 1604.

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 1604 and 1610?

Answer:

Least Common Multiple of 1604 and 1610 = 1291220

Step 1: Find the prime factorization of 1604

1604 = 2 x 2 x 401

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 = 1291220 = 2 x 2 x 5 x 7 x 23 x 401

Step 4: Therefore, the least common multiple of 1604 and 1610 is 1291220.