Least Common Multiple of 2027 and 2032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2027 and 2032 the smallest integer that is 4118864 that is divisible by both numbers.

Least Common Multiple (LCM) of 2027 and 2032 is 4118864.

LCM(2027,2032) = 4118864

LCM of 2027 and 2032

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

LCM of:
and

Least Common Multiple of 2027 and 2032

LCM of 2027 and 2032 is 4118864

Least common multiple can be found by multiplying the highest exponent prime factors of 2027 and 2032. First we will calculate the prime factors of 2027 and 2032.

Prime Factorization of 2027


2027 2027
1

Prime factors of 2027 are 2027. Prime factorization of 2027 in exponential form is:

2027 = 20271

Prime Factorization of 2032


2 2032
2 1016
2 508
2 254
127 127
1

Prime factors of 2032 are 2,127. Prime factorization of 2032 in exponential form is:

2032 = 24×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 2027 and 2032.

LCM(2027,2032) = 24×1271×20271
LCM(2027,2032) = 4118864

Factors of 2027

List of positive integer factors of 2027 that divides 2027 without a remainder.

1, 2027

Factors of 2032

List of positive integer factors of 2032 that divides 2032 without a remainder.

1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032

Least Common Multiple of 2027 and 2032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2027 and 2032, than apply into the LCM equation.

GCF(2027,2032) = 1
LCM(2027,2032) = ( 2027 × 2032) / 1
LCM(2027,2032) = 4118864 / 1
LCM(2027,2032) = 4118864

Properties of LCM 2027 and 2032

(i) The LCM of 2032 and 2027 is associative

LCM of 2027 and 2032 = LCM of 2032 and 2027

Related Least Common Multiples of 2027

Related Least Common Multiples of 2032

Frequently Asked Questions on LCM of 2027 and 2032

1. What is the LCM of 2027 and 2032?

Answer: LCM of 2027 and 2032 is 4118864.

2. What are the Factors of 2027?

Answer: Factors of 2027 are 1, 2027. There are 2 integers that are factors of 2027. The greatest factor of 2027 is 2027.

3. What are the Factors of 2032?

Answer: Factors of 2032 are 1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032. There are 10 integers that are factors of 2032. The greatest factor of 2032 is 2032.

4. How to Find the LCM of 2027 and 2032?

Answer:

Least Common Multiple of 2027 and 2032 = 4118864

Step 1: Find the prime factorization of 2027

2027 = 2027

Step 2: Find the prime factorization of 2032

2032 = 2 x 2 x 2 x 2 x 127

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

LCM = 4118864 = 2 x 2 x 2 x 2 x 127 x 2027

Step 4: Therefore, the least common multiple of 2027 and 2032 is 4118864.