Least Common Multiple of 1040 and 1048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1040 and 1048 the smallest integer that is 136240 that is divisible by both numbers.

Least Common Multiple (LCM) of 1040 and 1048 is 136240.

LCM(1040,1048) = 136240

LCM of 1040 and 1048

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

LCM of:
and

Least Common Multiple of 1040 and 1048

LCM of 1040 and 1048 is 136240

Least common multiple can be found by multiplying the highest exponent prime factors of 1040 and 1048. First we will calculate the prime factors of 1040 and 1048.

Prime Factorization of 1040


2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 1040 are 2, 5,13. Prime factorization of 1040 in exponential form is:

1040 = 24×51×131

Prime Factorization of 1048


2 1048
2 524
2 262
131 131
1

Prime factors of 1048 are 2,131. Prime factorization of 1048 in exponential form is:

1048 = 23×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1040 and 1048.

LCM(1040,1048) = 24×51×131×1311
LCM(1040,1048) = 136240

Factors of 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040

Factors of 1048

List of positive integer factors of 1048 that divides 1048 without a remainder.

1, 2, 4, 8, 131, 262, 524, 1048

Least Common Multiple of 1040 and 1048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1040 and 1048, than apply into the LCM equation.

GCF(1040,1048) = 8
LCM(1040,1048) = ( 1040 × 1048) / 8
LCM(1040,1048) = 1089920 / 8
LCM(1040,1048) = 136240

Properties of LCM 1040 and 1048

(i) The LCM of 1048 and 1040 is associative

LCM of 1040 and 1048 = LCM of 1048 and 1040

Related Least Common Multiples of 1040

Related Least Common Multiples of 1048

Frequently Asked Questions on LCM of 1040 and 1048

1. What is the LCM of 1040 and 1048?

Answer: LCM of 1040 and 1048 is 136240.

2. What are the Factors of 1040?

Answer: Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. There are 20 integers that are factors of 1040. The greatest factor of 1040 is 1040.

3. What are the Factors of 1048?

Answer: Factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048. There are 8 integers that are factors of 1048. The greatest factor of 1048 is 1048.

4. How to Find the LCM of 1040 and 1048?

Answer:

Least Common Multiple of 1040 and 1048 = 136240

Step 1: Find the prime factorization of 1040

1040 = 2 x 2 x 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 1048

1048 = 2 x 2 x 2 x 131

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

LCM = 136240 = 2 x 2 x 2 x 2 x 5 x 13 x 131

Step 4: Therefore, the least common multiple of 1040 and 1048 is 136240.