Least Common Multiple of 29067 and 29074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 29067 and 29074 the smallest integer that is 845093958 that is divisible by both numbers.

Least Common Multiple (LCM) of 29067 and 29074 is 845093958.

LCM(29067,29074) = 845093958

LCM of 29067 and 29074

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

LCM of:
and

Least Common Multiple of 29067 and 29074

LCM of 29067 and 29074 is 845093958

Least common multiple can be found by multiplying the highest exponent prime factors of 29067 and 29074. First we will calculate the prime factors of 29067 and 29074.

Prime Factorization of 29067


3 29067
9689 9689
1

Prime factors of 29067 are 3,9689. Prime factorization of 29067 in exponential form is:

29067 = 31×96891

Prime Factorization of 29074


2 29074
14537 14537
1

Prime factors of 29074 are 2,14537. Prime factorization of 29074 in exponential form is:

29074 = 21×145371

Now multiplying the highest exponent prime factors to calculate the LCM of 29067 and 29074.

LCM(29067,29074) = 21×31×96891×145371
LCM(29067,29074) = 845093958

Factors of 29067

List of positive integer factors of 29067 that divides 29067 without a remainder.

1, 3, 9689, 29067

Factors of 29074

List of positive integer factors of 29074 that divides 29074 without a remainder.

1, 2, 14537, 29074

Least Common Multiple of 29067 and 29074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29067 and 29074, than apply into the LCM equation.

GCF(29067,29074) = 1
LCM(29067,29074) = ( 29067 × 29074) / 1
LCM(29067,29074) = 845093958 / 1
LCM(29067,29074) = 845093958

Properties of LCM 29067 and 29074

(i) The LCM of 29074 and 29067 is associative

LCM of 29067 and 29074 = LCM of 29074 and 29067

Related Least Common Multiples of 29067

Related Least Common Multiples of 29074

Frequently Asked Questions on LCM of 29067 and 29074

1. What is the LCM of 29067 and 29074?

Answer: LCM of 29067 and 29074 is 845093958.

2. What are the Factors of 29067?

Answer: Factors of 29067 are 1, 3, 9689, 29067. There are 4 integers that are factors of 29067. The greatest factor of 29067 is 29067.

3. What are the Factors of 29074?

Answer: Factors of 29074 are 1, 2, 14537, 29074. There are 4 integers that are factors of 29074. The greatest factor of 29074 is 29074.

4. How to Find the LCM of 29067 and 29074?

Answer:

Least Common Multiple of 29067 and 29074 = 845093958

Step 1: Find the prime factorization of 29067

29067 = 3 x 9689

Step 2: Find the prime factorization of 29074

29074 = 2 x 14537

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

LCM = 845093958 = 2 x 3 x 9689 x 14537

Step 4: Therefore, the least common multiple of 29067 and 29074 is 845093958.