Least Common Multiple of 1072 and 1076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1072 and 1076 the smallest integer that is 288368 that is divisible by both numbers.

Least Common Multiple (LCM) of 1072 and 1076 is 288368.

LCM(1072,1076) = 288368

LCM of 1072 and 1076

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

LCM of:
and

Least Common Multiple of 1072 and 1076

LCM of 1072 and 1076 is 288368

Least common multiple can be found by multiplying the highest exponent prime factors of 1072 and 1076. First we will calculate the prime factors of 1072 and 1076.

Prime Factorization of 1072


2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 1072 are 2,67. Prime factorization of 1072 in exponential form is:

1072 = 24×671

Prime Factorization of 1076


2 1076
2 538
269 269
1

Prime factors of 1076 are 2,269. Prime factorization of 1076 in exponential form is:

1076 = 22×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 1072 and 1076.

LCM(1072,1076) = 24×671×2691
LCM(1072,1076) = 288368

Factors of 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1, 2, 4, 8, 16, 67, 134, 268, 536, 1072

Factors of 1076

List of positive integer factors of 1076 that divides 1076 without a remainder.

1, 2, 4, 269, 538, 1076

Least Common Multiple of 1072 and 1076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1072 and 1076, than apply into the LCM equation.

GCF(1072,1076) = 4
LCM(1072,1076) = ( 1072 × 1076) / 4
LCM(1072,1076) = 1153472 / 4
LCM(1072,1076) = 288368

Properties of LCM 1072 and 1076

(i) The LCM of 1076 and 1072 is associative

LCM of 1072 and 1076 = LCM of 1076 and 1072

Related Least Common Multiples of 1072

Related Least Common Multiples of 1076

Frequently Asked Questions on LCM of 1072 and 1076

1. What is the LCM of 1072 and 1076?

Answer: LCM of 1072 and 1076 is 288368.

2. What are the Factors of 1072?

Answer: Factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072. There are 10 integers that are factors of 1072. The greatest factor of 1072 is 1072.

3. What are the Factors of 1076?

Answer: Factors of 1076 are 1, 2, 4, 269, 538, 1076. There are 6 integers that are factors of 1076. The greatest factor of 1076 is 1076.

4. How to Find the LCM of 1072 and 1076?

Answer:

Least Common Multiple of 1072 and 1076 = 288368

Step 1: Find the prime factorization of 1072

1072 = 2 x 2 x 2 x 2 x 67

Step 2: Find the prime factorization of 1076

1076 = 2 x 2 x 269

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

LCM = 288368 = 2 x 2 x 2 x 2 x 67 x 269

Step 4: Therefore, the least common multiple of 1072 and 1076 is 288368.