Least Common Multiple of 1070 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 1070 and 1078 the smallest integer that is 576730 that is divisible by both numbers.

Least Common Multiple (LCM) of 1070 and 1078 is 576730.

LCM(1070,1078) = 576730

LCM of 1070 and 1078

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

LCM of:
and

Least Common Multiple of 1070 and 1078

LCM of 1070 and 1078 is 576730

Least common multiple can be found by multiplying the highest exponent prime factors of 1070 and 1078. First we will calculate the prime factors of 1070 and 1078.

Prime Factorization of 1070


2 1070
5 535
107 107
1

Prime factors of 1070 are 2, 5,107. Prime factorization of 1070 in exponential form is:

1070 = 21×51×1071

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 1070 and 1078.

LCM(1070,1078) = 21×51×72×111×1071
LCM(1070,1078) = 576730

Factors of 1070

List of positive integer factors of 1070 that divides 1070 without a remainder.

1, 2, 5, 10, 107, 214, 535, 1070

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 1070 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 1070 and 1078, than apply into the LCM equation.

GCF(1070,1078) = 2
LCM(1070,1078) = ( 1070 × 1078) / 2
LCM(1070,1078) = 1153460 / 2
LCM(1070,1078) = 576730

Properties of LCM 1070 and 1078

(i) The LCM of 1078 and 1070 is associative

LCM of 1070 and 1078 = LCM of 1078 and 1070

Related Least Common Multiples of 1070

Related Least Common Multiples of 1078

Frequently Asked Questions on LCM of 1070 and 1078

1. What is the LCM of 1070 and 1078?

Answer: LCM of 1070 and 1078 is 576730.

2. What are the Factors of 1070?

Answer: Factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070. There are 8 integers that are factors of 1070. The greatest factor of 1070 is 1070.

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 1070 and 1078?

Answer:

Least Common Multiple of 1070 and 1078 = 576730

Step 1: Find the prime factorization of 1070

1070 = 2 x 5 x 107

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 = 576730 = 2 x 5 x 7 x 7 x 11 x 107

Step 4: Therefore, the least common multiple of 1070 and 1078 is 576730.