Least Common Multiple of 1601 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 1601 and 1602 the smallest integer that is 2564802 that is divisible by both numbers.

Least Common Multiple (LCM) of 1601 and 1602 is 2564802.

LCM(1601,1602) = 2564802

LCM of 1601 and 1602

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

LCM of:
and

Least Common Multiple of 1601 and 1602

LCM of 1601 and 1602 is 2564802

Least common multiple can be found by multiplying the highest exponent prime factors of 1601 and 1602. First we will calculate the prime factors of 1601 and 1602.

Prime Factorization of 1601


1601 1601
1

Prime factors of 1601 are 1601. Prime factorization of 1601 in exponential form is:

1601 = 16011

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 1601 and 1602.

LCM(1601,1602) = 21×32×891×16011
LCM(1601,1602) = 2564802

Factors of 1601

List of positive integer factors of 1601 that divides 1601 without a remainder.

1, 1601

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 1601 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 1601 and 1602, than apply into the LCM equation.

GCF(1601,1602) = 1
LCM(1601,1602) = ( 1601 × 1602) / 1
LCM(1601,1602) = 2564802 / 1
LCM(1601,1602) = 2564802

Properties of LCM 1601 and 1602

(i) The LCM of 1602 and 1601 is associative

LCM of 1601 and 1602 = LCM of 1602 and 1601

Related Least Common Multiples of 1601

Related Least Common Multiples of 1602

Frequently Asked Questions on LCM of 1601 and 1602

1. What is the LCM of 1601 and 1602?

Answer: LCM of 1601 and 1602 is 2564802.

2. What are the Factors of 1601?

Answer: Factors of 1601 are 1, 1601. There are 2 integers that are factors of 1601. The greatest factor of 1601 is 1601.

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 1601 and 1602?

Answer:

Least Common Multiple of 1601 and 1602 = 2564802

Step 1: Find the prime factorization of 1601

1601 = 1601

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 = 2564802 = 2 x 3 x 3 x 89 x 1601

Step 4: Therefore, the least common multiple of 1601 and 1602 is 2564802.