Least Common Multiple of 27040 and 27048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27040 and 27048 the smallest integer that is 91422240 that is divisible by both numbers.

Least Common Multiple (LCM) of 27040 and 27048 is 91422240.

LCM(27040,27048) = 91422240

LCM of 27040 and 27048

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

LCM of:
and

Least Common Multiple of 27040 and 27048

LCM of 27040 and 27048 is 91422240

Least common multiple can be found by multiplying the highest exponent prime factors of 27040 and 27048. First we will calculate the prime factors of 27040 and 27048.

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

Prime Factorization of 27048


2 27048
2 13524
2 6762
3 3381
7 1127
7 161
23 23
1

Prime factors of 27048 are 2, 3, 7,23. Prime factorization of 27048 in exponential form is:

27048 = 23×31×72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 27040 and 27048.

LCM(27040,27048) = 25×31×51×72×132×231
LCM(27040,27048) = 91422240

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

Factors of 27048

List of positive integer factors of 27048 that divides 27048 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 49, 56, 69, 84, 92, 98, 138, 147, 161, 168, 184, 196, 276, 294, 322, 392, 483, 552, 588, 644, 966, 1127, 1176, 1288, 1932, 2254, 3381, 3864, 4508, 6762, 9016, 13524, 27048

Least Common Multiple of 27040 and 27048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27040 and 27048, than apply into the LCM equation.

GCF(27040,27048) = 8
LCM(27040,27048) = ( 27040 × 27048) / 8
LCM(27040,27048) = 731377920 / 8
LCM(27040,27048) = 91422240

Properties of LCM 27040 and 27048

(i) The LCM of 27048 and 27040 is associative

LCM of 27040 and 27048 = LCM of 27048 and 27040

Related Least Common Multiples of 27040

Related Least Common Multiples of 27048

Frequently Asked Questions on LCM of 27040 and 27048

1. What is the LCM of 27040 and 27048?

Answer: LCM of 27040 and 27048 is 91422240.

2. 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.

3. What are the Factors of 27048?

Answer: Factors of 27048 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 49, 56, 69, 84, 92, 98, 138, 147, 161, 168, 184, 196, 276, 294, 322, 392, 483, 552, 588, 644, 966, 1127, 1176, 1288, 1932, 2254, 3381, 3864, 4508, 6762, 9016, 13524, 27048. There are 48 integers that are factors of 27048. The greatest factor of 27048 is 27048.

4. How to Find the LCM of 27040 and 27048?

Answer:

Least Common Multiple of 27040 and 27048 = 91422240

Step 1: Find the prime factorization of 27040

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

Step 2: Find the prime factorization of 27048

27048 = 2 x 2 x 2 x 3 x 7 x 7 x 23

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

LCM = 91422240 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 x 13 x 23

Step 4: Therefore, the least common multiple of 27040 and 27048 is 91422240.