Least Common Multiple of 27026 and 27032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27026 and 27032 the smallest integer that is 365283416 that is divisible by both numbers.

Least Common Multiple (LCM) of 27026 and 27032 is 365283416.

LCM(27026,27032) = 365283416

LCM of 27026 and 27032

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

LCM of:
and

Least Common Multiple of 27026 and 27032

LCM of 27026 and 27032 is 365283416

Least common multiple can be found by multiplying the highest exponent prime factors of 27026 and 27032. First we will calculate the prime factors of 27026 and 27032.

Prime Factorization of 27026


2 27026
13513 13513
1

Prime factors of 27026 are 2,13513. Prime factorization of 27026 in exponential form is:

27026 = 21×135131

Prime Factorization of 27032


2 27032
2 13516
2 6758
31 3379
109 109
1

Prime factors of 27032 are 2, 31,109. Prime factorization of 27032 in exponential form is:

27032 = 23×311×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 27026 and 27032.

LCM(27026,27032) = 23×311×1091×135131
LCM(27026,27032) = 365283416

Factors of 27026

List of positive integer factors of 27026 that divides 27026 without a remainder.

1, 2, 13513, 27026

Factors of 27032

List of positive integer factors of 27032 that divides 27032 without a remainder.

1, 2, 4, 8, 31, 62, 109, 124, 218, 248, 436, 872, 3379, 6758, 13516, 27032

Least Common Multiple of 27026 and 27032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27026 and 27032, than apply into the LCM equation.

GCF(27026,27032) = 2
LCM(27026,27032) = ( 27026 × 27032) / 2
LCM(27026,27032) = 730566832 / 2
LCM(27026,27032) = 365283416

Properties of LCM 27026 and 27032

(i) The LCM of 27032 and 27026 is associative

LCM of 27026 and 27032 = LCM of 27032 and 27026

Related Least Common Multiples of 27026

Related Least Common Multiples of 27032

Frequently Asked Questions on LCM of 27026 and 27032

1. What is the LCM of 27026 and 27032?

Answer: LCM of 27026 and 27032 is 365283416.

2. What are the Factors of 27026?

Answer: Factors of 27026 are 1, 2, 13513, 27026. There are 4 integers that are factors of 27026. The greatest factor of 27026 is 27026.

3. What are the Factors of 27032?

Answer: Factors of 27032 are 1, 2, 4, 8, 31, 62, 109, 124, 218, 248, 436, 872, 3379, 6758, 13516, 27032. There are 16 integers that are factors of 27032. The greatest factor of 27032 is 27032.

4. How to Find the LCM of 27026 and 27032?

Answer:

Least Common Multiple of 27026 and 27032 = 365283416

Step 1: Find the prime factorization of 27026

27026 = 2 x 13513

Step 2: Find the prime factorization of 27032

27032 = 2 x 2 x 2 x 31 x 109

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

LCM = 365283416 = 2 x 2 x 2 x 31 x 109 x 13513

Step 4: Therefore, the least common multiple of 27026 and 27032 is 365283416.