Least Common Multiple of 1072 and 1079

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 1079 the smallest integer that is 1156688 that is divisible by both numbers.

Least Common Multiple (LCM) of 1072 and 1079 is 1156688.

LCM(1072,1079) = 1156688

LCM of 1072 and 1079

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

LCM of:
and

Least Common Multiple of 1072 and 1079

LCM of 1072 and 1079 is 1156688

Least common multiple can be found by multiplying the highest exponent prime factors of 1072 and 1079. First we will calculate the prime factors of 1072 and 1079.

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 1079


13 1079
83 83
1

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

1079 = 131×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1072 and 1079.

LCM(1072,1079) = 24×131×671×831
LCM(1072,1079) = 1156688

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 1079

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

1, 13, 83, 1079

Least Common Multiple of 1072 and 1079 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 1079, than apply into the LCM equation.

GCF(1072,1079) = 1
LCM(1072,1079) = ( 1072 × 1079) / 1
LCM(1072,1079) = 1156688 / 1
LCM(1072,1079) = 1156688

Properties of LCM 1072 and 1079

(i) The LCM of 1079 and 1072 is associative

LCM of 1072 and 1079 = LCM of 1079 and 1072

Related Least Common Multiples of 1072

Related Least Common Multiples of 1079

Frequently Asked Questions on LCM of 1072 and 1079

1. What is the LCM of 1072 and 1079?

Answer: LCM of 1072 and 1079 is 1156688.

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 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.

4. How to Find the LCM of 1072 and 1079?

Answer:

Least Common Multiple of 1072 and 1079 = 1156688

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 1079

1079 = 13 x 83

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

LCM = 1156688 = 2 x 2 x 2 x 2 x 13 x 67 x 83

Step 4: Therefore, the least common multiple of 1072 and 1079 is 1156688.