Least Common Multiple of 1063 and 1070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1063 and 1070 the smallest integer that is 1137410 that is divisible by both numbers.

Least Common Multiple (LCM) of 1063 and 1070 is 1137410.

LCM(1063,1070) = 1137410

LCM of 1063 and 1070

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

LCM of:
and

Least Common Multiple of 1063 and 1070

LCM of 1063 and 1070 is 1137410

Least common multiple can be found by multiplying the highest exponent prime factors of 1063 and 1070. First we will calculate the prime factors of 1063 and 1070.

Prime Factorization of 1063


1063 1063
1

Prime factors of 1063 are 1063. Prime factorization of 1063 in exponential form is:

1063 = 10631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1063 and 1070.

LCM(1063,1070) = 21×51×1071×10631
LCM(1063,1070) = 1137410

Factors of 1063

List of positive integer factors of 1063 that divides 1063 without a remainder.

1, 1063

Factors of 1070

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

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

Least Common Multiple of 1063 and 1070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1063 and 1070, than apply into the LCM equation.

GCF(1063,1070) = 1
LCM(1063,1070) = ( 1063 × 1070) / 1
LCM(1063,1070) = 1137410 / 1
LCM(1063,1070) = 1137410

Properties of LCM 1063 and 1070

(i) The LCM of 1070 and 1063 is associative

LCM of 1063 and 1070 = LCM of 1070 and 1063

Related Least Common Multiples of 1063

Related Least Common Multiples of 1070

Frequently Asked Questions on LCM of 1063 and 1070

1. What is the LCM of 1063 and 1070?

Answer: LCM of 1063 and 1070 is 1137410.

2. What are the Factors of 1063?

Answer: Factors of 1063 are 1, 1063. There are 2 integers that are factors of 1063. The greatest factor of 1063 is 1063.

3. 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.

4. How to Find the LCM of 1063 and 1070?

Answer:

Least Common Multiple of 1063 and 1070 = 1137410

Step 1: Find the prime factorization of 1063

1063 = 1063

Step 2: Find the prime factorization of 1070

1070 = 2 x 5 x 107

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

LCM = 1137410 = 2 x 5 x 107 x 1063

Step 4: Therefore, the least common multiple of 1063 and 1070 is 1137410.