Least Common Multiple of 1067 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 1067 and 1074 the smallest integer that is 1145958 that is divisible by both numbers.

Least Common Multiple (LCM) of 1067 and 1074 is 1145958.

LCM(1067,1074) = 1145958

LCM of 1067 and 1074

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

LCM of:
and

Least Common Multiple of 1067 and 1074

LCM of 1067 and 1074 is 1145958

Least common multiple can be found by multiplying the highest exponent prime factors of 1067 and 1074. First we will calculate the prime factors of 1067 and 1074.

Prime Factorization of 1067


11 1067
97 97
1

Prime factors of 1067 are 11,97. Prime factorization of 1067 in exponential form is:

1067 = 111×971

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 1067 and 1074.

LCM(1067,1074) = 21×31×111×971×1791
LCM(1067,1074) = 1145958

Factors of 1067

List of positive integer factors of 1067 that divides 1067 without a remainder.

1, 11, 97, 1067

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 1067 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 1067 and 1074, than apply into the LCM equation.

GCF(1067,1074) = 1
LCM(1067,1074) = ( 1067 × 1074) / 1
LCM(1067,1074) = 1145958 / 1
LCM(1067,1074) = 1145958

Properties of LCM 1067 and 1074

(i) The LCM of 1074 and 1067 is associative

LCM of 1067 and 1074 = LCM of 1074 and 1067

Related Least Common Multiples of 1067

Related Least Common Multiples of 1074

Frequently Asked Questions on LCM of 1067 and 1074

1. What is the LCM of 1067 and 1074?

Answer: LCM of 1067 and 1074 is 1145958.

2. What are the Factors of 1067?

Answer: Factors of 1067 are 1, 11, 97, 1067. There are 4 integers that are factors of 1067. The greatest factor of 1067 is 1067.

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 1067 and 1074?

Answer:

Least Common Multiple of 1067 and 1074 = 1145958

Step 1: Find the prime factorization of 1067

1067 = 11 x 97

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 = 1145958 = 2 x 3 x 11 x 97 x 179

Step 4: Therefore, the least common multiple of 1067 and 1074 is 1145958.