Least Common Multiple of 1602 and 1609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1602 and 1609 the smallest integer that is 2577618 that is divisible by both numbers.

Least Common Multiple (LCM) of 1602 and 1609 is 2577618.

LCM(1602,1609) = 2577618

LCM of 1602 and 1609

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

LCM of:
and

Least Common Multiple of 1602 and 1609

LCM of 1602 and 1609 is 2577618

Least common multiple can be found by multiplying the highest exponent prime factors of 1602 and 1609. First we will calculate the prime factors of 1602 and 1609.

Prime Factorization of 1602


2 1602
3 801
3 267
89 89
1

Prime factors of 1602 are 2, 3,89. Prime factorization of 1602 in exponential form is:

1602 = 21×32×891

Prime Factorization of 1609


1609 1609
1

Prime factors of 1609 are 1609. Prime factorization of 1609 in exponential form is:

1609 = 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 1602 and 1609.

LCM(1602,1609) = 21×32×891×16091
LCM(1602,1609) = 2577618

Factors of 1602

List of positive integer factors of 1602 that divides 1602 without a remainder.

1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602

Factors of 1609

List of positive integer factors of 1609 that divides 1609 without a remainder.

1, 1609

Least Common Multiple of 1602 and 1609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1602 and 1609, than apply into the LCM equation.

GCF(1602,1609) = 1
LCM(1602,1609) = ( 1602 × 1609) / 1
LCM(1602,1609) = 2577618 / 1
LCM(1602,1609) = 2577618

Properties of LCM 1602 and 1609

(i) The LCM of 1609 and 1602 is associative

LCM of 1602 and 1609 = LCM of 1609 and 1602

Related Least Common Multiples of 1602

Related Least Common Multiples of 1609

Frequently Asked Questions on LCM of 1602 and 1609

1. What is the LCM of 1602 and 1609?

Answer: LCM of 1602 and 1609 is 2577618.

2. What are the Factors of 1602?

Answer: Factors of 1602 are 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602. There are 12 integers that are factors of 1602. The greatest factor of 1602 is 1602.

3. What are the Factors of 1609?

Answer: Factors of 1609 are 1, 1609. There are 2 integers that are factors of 1609. The greatest factor of 1609 is 1609.

4. How to Find the LCM of 1602 and 1609?

Answer:

Least Common Multiple of 1602 and 1609 = 2577618

Step 1: Find the prime factorization of 1602

1602 = 2 x 3 x 3 x 89

Step 2: Find the prime factorization of 1609

1609 = 1609

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

LCM = 2577618 = 2 x 3 x 3 x 89 x 1609

Step 4: Therefore, the least common multiple of 1602 and 1609 is 2577618.