Least Common Multiple of 1067 and 1072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1067 and 1072 the smallest integer that is 1143824 that is divisible by both numbers.

Least Common Multiple (LCM) of 1067 and 1072 is 1143824.

LCM(1067,1072) = 1143824

LCM of 1067 and 1072

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

LCM of:
and

Least Common Multiple of 1067 and 1072

LCM of 1067 and 1072 is 1143824

Least common multiple can be found by multiplying the highest exponent prime factors of 1067 and 1072. First we will calculate the prime factors of 1067 and 1072.

Prime Factorization of 1067


11 1067
97 97
1

Prime factors of 1067 are 11,97. Prime factorization of 1067 in exponential form is:

1067 = 111×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1067 and 1072.

LCM(1067,1072) = 24×111×671×971
LCM(1067,1072) = 1143824

Factors of 1067

List of positive integer factors of 1067 that divides 1067 without a remainder.

1, 11, 97, 1067

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

Least Common Multiple of 1067 and 1072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1067 and 1072, than apply into the LCM equation.

GCF(1067,1072) = 1
LCM(1067,1072) = ( 1067 × 1072) / 1
LCM(1067,1072) = 1143824 / 1
LCM(1067,1072) = 1143824

Properties of LCM 1067 and 1072

(i) The LCM of 1072 and 1067 is associative

LCM of 1067 and 1072 = LCM of 1072 and 1067

Related Least Common Multiples of 1067

Related Least Common Multiples of 1072

Frequently Asked Questions on LCM of 1067 and 1072

1. What is the LCM of 1067 and 1072?

Answer: LCM of 1067 and 1072 is 1143824.

2. What are the Factors of 1067?

Answer: Factors of 1067 are 1, 11, 97, 1067. There are 4 integers that are factors of 1067. The greatest factor of 1067 is 1067.

3. 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.

4. How to Find the LCM of 1067 and 1072?

Answer:

Least Common Multiple of 1067 and 1072 = 1143824

Step 1: Find the prime factorization of 1067

1067 = 11 x 97

Step 2: Find the prime factorization of 1072

1072 = 2 x 2 x 2 x 2 x 67

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

LCM = 1143824 = 2 x 2 x 2 x 2 x 11 x 67 x 97

Step 4: Therefore, the least common multiple of 1067 and 1072 is 1143824.