Least Common Multiple of 1595 and 1602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1595 and 1602 the smallest integer that is 2555190 that is divisible by both numbers.

Least Common Multiple (LCM) of 1595 and 1602 is 2555190.

LCM(1595,1602) = 2555190

LCM of 1595 and 1602

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

LCM of:
and

Least Common Multiple of 1595 and 1602

LCM of 1595 and 1602 is 2555190

Least common multiple can be found by multiplying the highest exponent prime factors of 1595 and 1602. First we will calculate the prime factors of 1595 and 1602.

Prime Factorization of 1595


5 1595
11 319
29 29
1

Prime factors of 1595 are 5, 11,29. Prime factorization of 1595 in exponential form is:

1595 = 51×111×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1595 and 1602.

LCM(1595,1602) = 21×32×51×111×291×891
LCM(1595,1602) = 2555190

Factors of 1595

List of positive integer factors of 1595 that divides 1595 without a remainder.

1, 5, 11, 29, 55, 145, 319, 1595

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

Least Common Multiple of 1595 and 1602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1595 and 1602, than apply into the LCM equation.

GCF(1595,1602) = 1
LCM(1595,1602) = ( 1595 × 1602) / 1
LCM(1595,1602) = 2555190 / 1
LCM(1595,1602) = 2555190

Properties of LCM 1595 and 1602

(i) The LCM of 1602 and 1595 is associative

LCM of 1595 and 1602 = LCM of 1602 and 1595

Related Least Common Multiples of 1595

Related Least Common Multiples of 1602

Frequently Asked Questions on LCM of 1595 and 1602

1. What is the LCM of 1595 and 1602?

Answer: LCM of 1595 and 1602 is 2555190.

2. What are the Factors of 1595?

Answer: Factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595. There are 8 integers that are factors of 1595. The greatest factor of 1595 is 1595.

3. 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.

4. How to Find the LCM of 1595 and 1602?

Answer:

Least Common Multiple of 1595 and 1602 = 2555190

Step 1: Find the prime factorization of 1595

1595 = 5 x 11 x 29

Step 2: Find the prime factorization of 1602

1602 = 2 x 3 x 3 x 89

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

LCM = 2555190 = 2 x 3 x 3 x 5 x 11 x 29 x 89

Step 4: Therefore, the least common multiple of 1595 and 1602 is 2555190.