Least Common Multiple of 1072 and 1074

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 1074 the smallest integer that is 575664 that is divisible by both numbers.

Least Common Multiple (LCM) of 1072 and 1074 is 575664.

LCM(1072,1074) = 575664

LCM of 1072 and 1074

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

LCM of:
and

Least Common Multiple of 1072 and 1074

LCM of 1072 and 1074 is 575664

Least common multiple can be found by multiplying the highest exponent prime factors of 1072 and 1074. First we will calculate the prime factors of 1072 and 1074.

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 1074


2 1074
3 537
179 179
1

Prime factors of 1074 are 2, 3,179. Prime factorization of 1074 in exponential form is:

1074 = 21×31×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 1072 and 1074.

LCM(1072,1074) = 24×31×671×1791
LCM(1072,1074) = 575664

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 1074

List of positive integer factors of 1074 that divides 1074 without a remainder.

1, 2, 3, 6, 179, 358, 537, 1074

Least Common Multiple of 1072 and 1074 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 1074, than apply into the LCM equation.

GCF(1072,1074) = 2
LCM(1072,1074) = ( 1072 × 1074) / 2
LCM(1072,1074) = 1151328 / 2
LCM(1072,1074) = 575664

Properties of LCM 1072 and 1074

(i) The LCM of 1074 and 1072 is associative

LCM of 1072 and 1074 = LCM of 1074 and 1072

Related Least Common Multiples of 1072

Related Least Common Multiples of 1074

Frequently Asked Questions on LCM of 1072 and 1074

1. What is the LCM of 1072 and 1074?

Answer: LCM of 1072 and 1074 is 575664.

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 1074?

Answer: Factors of 1074 are 1, 2, 3, 6, 179, 358, 537, 1074. There are 8 integers that are factors of 1074. The greatest factor of 1074 is 1074.

4. How to Find the LCM of 1072 and 1074?

Answer:

Least Common Multiple of 1072 and 1074 = 575664

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 1074

1074 = 2 x 3 x 179

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

LCM = 575664 = 2 x 2 x 2 x 2 x 3 x 67 x 179

Step 4: Therefore, the least common multiple of 1072 and 1074 is 575664.