Least Common Multiple of 27032 and 27040

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 27040 the smallest integer that is 91368160 that is divisible by both numbers.

Least Common Multiple (LCM) of 27032 and 27040 is 91368160.

LCM(27032,27040) = 91368160

LCM of 27032 and 27040

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

LCM of:
and

Least Common Multiple of 27032 and 27040

LCM of 27032 and 27040 is 91368160

Least common multiple can be found by multiplying the highest exponent prime factors of 27032 and 27040. First we will calculate the prime factors of 27032 and 27040.

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 27040


2 27040
2 13520
2 6760
2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 27040 are 2, 5,13. Prime factorization of 27040 in exponential form is:

27040 = 25×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 27032 and 27040.

LCM(27032,27040) = 25×51×132×311×1091
LCM(27032,27040) = 91368160

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 27040

List of positive integer factors of 27040 that divides 27040 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 169, 208, 260, 338, 416, 520, 676, 845, 1040, 1352, 1690, 2080, 2704, 3380, 5408, 6760, 13520, 27040

Least Common Multiple of 27032 and 27040 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 27040, than apply into the LCM equation.

GCF(27032,27040) = 8
LCM(27032,27040) = ( 27032 × 27040) / 8
LCM(27032,27040) = 730945280 / 8
LCM(27032,27040) = 91368160

Properties of LCM 27032 and 27040

(i) The LCM of 27040 and 27032 is associative

LCM of 27032 and 27040 = LCM of 27040 and 27032

Related Least Common Multiples of 27032

Related Least Common Multiples of 27040

Frequently Asked Questions on LCM of 27032 and 27040

1. What is the LCM of 27032 and 27040?

Answer: LCM of 27032 and 27040 is 91368160.

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 27040?

Answer: Factors of 27040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 169, 208, 260, 338, 416, 520, 676, 845, 1040, 1352, 1690, 2080, 2704, 3380, 5408, 6760, 13520, 27040. There are 36 integers that are factors of 27040. The greatest factor of 27040 is 27040.

4. How to Find the LCM of 27032 and 27040?

Answer:

Least Common Multiple of 27032 and 27040 = 91368160

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 27040

27040 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 13

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

LCM = 91368160 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 13 x 31 x 109

Step 4: Therefore, the least common multiple of 27032 and 27040 is 91368160.