Least Common Multiple of 1079 and 1087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1079 and 1087 the smallest integer that is 1172873 that is divisible by both numbers.

Least Common Multiple (LCM) of 1079 and 1087 is 1172873.

LCM(1079,1087) = 1172873

LCM of 1079 and 1087

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

LCM of:
and

Least Common Multiple of 1079 and 1087

LCM of 1079 and 1087 is 1172873

Least common multiple can be found by multiplying the highest exponent prime factors of 1079 and 1087. First we will calculate the prime factors of 1079 and 1087.

Prime Factorization of 1079


13 1079
83 83
1

Prime factors of 1079 are 13,83. Prime factorization of 1079 in exponential form is:

1079 = 131×831

Prime Factorization of 1087


1087 1087
1

Prime factors of 1087 are 1087. Prime factorization of 1087 in exponential form is:

1087 = 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 1079 and 1087.

LCM(1079,1087) = 131×831×10871
LCM(1079,1087) = 1172873

Factors of 1079

List of positive integer factors of 1079 that divides 1079 without a remainder.

1, 13, 83, 1079

Factors of 1087

List of positive integer factors of 1087 that divides 1087 without a remainder.

1, 1087

Least Common Multiple of 1079 and 1087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1079 and 1087, than apply into the LCM equation.

GCF(1079,1087) = 1
LCM(1079,1087) = ( 1079 × 1087) / 1
LCM(1079,1087) = 1172873 / 1
LCM(1079,1087) = 1172873

Properties of LCM 1079 and 1087

(i) The LCM of 1087 and 1079 is associative

LCM of 1079 and 1087 = LCM of 1087 and 1079

Related Least Common Multiples of 1079

Related Least Common Multiples of 1087

Frequently Asked Questions on LCM of 1079 and 1087

1. What is the LCM of 1079 and 1087?

Answer: LCM of 1079 and 1087 is 1172873.

2. What are the Factors of 1079?

Answer: Factors of 1079 are 1, 13, 83, 1079. There are 4 integers that are factors of 1079. The greatest factor of 1079 is 1079.

3. What are the Factors of 1087?

Answer: Factors of 1087 are 1, 1087. There are 2 integers that are factors of 1087. The greatest factor of 1087 is 1087.

4. How to Find the LCM of 1079 and 1087?

Answer:

Least Common Multiple of 1079 and 1087 = 1172873

Step 1: Find the prime factorization of 1079

1079 = 13 x 83

Step 2: Find the prime factorization of 1087

1087 = 1087

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

LCM = 1172873 = 13 x 83 x 1087

Step 4: Therefore, the least common multiple of 1079 and 1087 is 1172873.