Least Common Multiple of 27032 and 27037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27032 and 27037 the smallest integer that is 730864184 that is divisible by both numbers.

Least Common Multiple (LCM) of 27032 and 27037 is 730864184.

LCM(27032,27037) = 730864184

LCM of 27032 and 27037

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

LCM of:
and

Least Common Multiple of 27032 and 27037

LCM of 27032 and 27037 is 730864184

Least common multiple can be found by multiplying the highest exponent prime factors of 27032 and 27037. First we will calculate the prime factors of 27032 and 27037.

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

Prime Factorization of 27037


19 27037
1423 1423
1

Prime factors of 27037 are 19,1423. Prime factorization of 27037 in exponential form is:

27037 = 191×14231

Now multiplying the highest exponent prime factors to calculate the LCM of 27032 and 27037.

LCM(27032,27037) = 23×191×311×1091×14231
LCM(27032,27037) = 730864184

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

Factors of 27037

List of positive integer factors of 27037 that divides 27037 without a remainder.

1, 19, 1423, 27037

Least Common Multiple of 27032 and 27037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27032 and 27037, than apply into the LCM equation.

GCF(27032,27037) = 1
LCM(27032,27037) = ( 27032 × 27037) / 1
LCM(27032,27037) = 730864184 / 1
LCM(27032,27037) = 730864184

Properties of LCM 27032 and 27037

(i) The LCM of 27037 and 27032 is associative

LCM of 27032 and 27037 = LCM of 27037 and 27032

Related Least Common Multiples of 27032

Related Least Common Multiples of 27037

Frequently Asked Questions on LCM of 27032 and 27037

1. What is the LCM of 27032 and 27037?

Answer: LCM of 27032 and 27037 is 730864184.

2. 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.

3. What are the Factors of 27037?

Answer: Factors of 27037 are 1, 19, 1423, 27037. There are 4 integers that are factors of 27037. The greatest factor of 27037 is 27037.

4. How to Find the LCM of 27032 and 27037?

Answer:

Least Common Multiple of 27032 and 27037 = 730864184

Step 1: Find the prime factorization of 27032

27032 = 2 x 2 x 2 x 31 x 109

Step 2: Find the prime factorization of 27037

27037 = 19 x 1423

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

LCM = 730864184 = 2 x 2 x 2 x 19 x 31 x 109 x 1423

Step 4: Therefore, the least common multiple of 27032 and 27037 is 730864184.