Least Common Multiple of 1073 and 1078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1073 and 1078 the smallest integer that is 1156694 that is divisible by both numbers.

Least Common Multiple (LCM) of 1073 and 1078 is 1156694.

LCM(1073,1078) = 1156694

LCM of 1073 and 1078

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

LCM of:
and

Least Common Multiple of 1073 and 1078

LCM of 1073 and 1078 is 1156694

Least common multiple can be found by multiplying the highest exponent prime factors of 1073 and 1078. First we will calculate the prime factors of 1073 and 1078.

Prime Factorization of 1073


29 1073
37 37
1

Prime factors of 1073 are 29,37. Prime factorization of 1073 in exponential form is:

1073 = 291×371

Prime Factorization of 1078


2 1078
7 539
7 77
11 11
1

Prime factors of 1078 are 2, 7,11. Prime factorization of 1078 in exponential form is:

1078 = 21×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1073 and 1078.

LCM(1073,1078) = 21×72×111×291×371
LCM(1073,1078) = 1156694

Factors of 1073

List of positive integer factors of 1073 that divides 1073 without a remainder.

1, 29, 37, 1073

Factors of 1078

List of positive integer factors of 1078 that divides 1078 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078

Least Common Multiple of 1073 and 1078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1073 and 1078, than apply into the LCM equation.

GCF(1073,1078) = 1
LCM(1073,1078) = ( 1073 × 1078) / 1
LCM(1073,1078) = 1156694 / 1
LCM(1073,1078) = 1156694

Properties of LCM 1073 and 1078

(i) The LCM of 1078 and 1073 is associative

LCM of 1073 and 1078 = LCM of 1078 and 1073

Related Least Common Multiples of 1073

Related Least Common Multiples of 1078

Frequently Asked Questions on LCM of 1073 and 1078

1. What is the LCM of 1073 and 1078?

Answer: LCM of 1073 and 1078 is 1156694.

2. What are the Factors of 1073?

Answer: Factors of 1073 are 1, 29, 37, 1073. There are 4 integers that are factors of 1073. The greatest factor of 1073 is 1073.

3. What are the Factors of 1078?

Answer: Factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078. There are 12 integers that are factors of 1078. The greatest factor of 1078 is 1078.

4. How to Find the LCM of 1073 and 1078?

Answer:

Least Common Multiple of 1073 and 1078 = 1156694

Step 1: Find the prime factorization of 1073

1073 = 29 x 37

Step 2: Find the prime factorization of 1078

1078 = 2 x 7 x 7 x 11

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

LCM = 1156694 = 2 x 7 x 7 x 11 x 29 x 37

Step 4: Therefore, the least common multiple of 1073 and 1078 is 1156694.