Least Common Multiple of 1072 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 1072 and 1078 the smallest integer that is 577808 that is divisible by both numbers.

Least Common Multiple (LCM) of 1072 and 1078 is 577808.

LCM(1072,1078) = 577808

LCM of 1072 and 1078

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

LCM of:
and

Least Common Multiple of 1072 and 1078

LCM of 1072 and 1078 is 577808

Least common multiple can be found by multiplying the highest exponent prime factors of 1072 and 1078. First we will calculate the prime factors of 1072 and 1078.

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 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 1072 and 1078.

LCM(1072,1078) = 24×72×111×671
LCM(1072,1078) = 577808

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 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 1072 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 1072 and 1078, than apply into the LCM equation.

GCF(1072,1078) = 2
LCM(1072,1078) = ( 1072 × 1078) / 2
LCM(1072,1078) = 1155616 / 2
LCM(1072,1078) = 577808

Properties of LCM 1072 and 1078

(i) The LCM of 1078 and 1072 is associative

LCM of 1072 and 1078 = LCM of 1078 and 1072

Related Least Common Multiples of 1072

Related Least Common Multiples of 1078

Frequently Asked Questions on LCM of 1072 and 1078

1. What is the LCM of 1072 and 1078?

Answer: LCM of 1072 and 1078 is 577808.

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 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 1072 and 1078?

Answer:

Least Common Multiple of 1072 and 1078 = 577808

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 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 = 577808 = 2 x 2 x 2 x 2 x 7 x 7 x 11 x 67

Step 4: Therefore, the least common multiple of 1072 and 1078 is 577808.