Least Common Multiple of 7029 and 7034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7029 and 7034 the smallest integer that is 49441986 that is divisible by both numbers.

Least Common Multiple (LCM) of 7029 and 7034 is 49441986.

LCM(7029,7034) = 49441986

LCM of 7029 and 7034

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

LCM of:
and

Least Common Multiple of 7029 and 7034

LCM of 7029 and 7034 is 49441986

Least common multiple can be found by multiplying the highest exponent prime factors of 7029 and 7034. First we will calculate the prime factors of 7029 and 7034.

Prime Factorization of 7029


3 7029
3 2343
11 781
71 71
1

Prime factors of 7029 are 3, 11,71. Prime factorization of 7029 in exponential form is:

7029 = 32×111×711

Prime Factorization of 7034


2 7034
3517 3517
1

Prime factors of 7034 are 2,3517. Prime factorization of 7034 in exponential form is:

7034 = 21×35171

Now multiplying the highest exponent prime factors to calculate the LCM of 7029 and 7034.

LCM(7029,7034) = 21×32×111×711×35171
LCM(7029,7034) = 49441986

Factors of 7029

List of positive integer factors of 7029 that divides 7029 without a remainder.

1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029

Factors of 7034

List of positive integer factors of 7034 that divides 7034 without a remainder.

1, 2, 3517, 7034

Least Common Multiple of 7029 and 7034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7029 and 7034, than apply into the LCM equation.

GCF(7029,7034) = 1
LCM(7029,7034) = ( 7029 × 7034) / 1
LCM(7029,7034) = 49441986 / 1
LCM(7029,7034) = 49441986

Properties of LCM 7029 and 7034

(i) The LCM of 7034 and 7029 is associative

LCM of 7029 and 7034 = LCM of 7034 and 7029

Related Least Common Multiples of 7029

Related Least Common Multiples of 7034

Frequently Asked Questions on LCM of 7029 and 7034

1. What is the LCM of 7029 and 7034?

Answer: LCM of 7029 and 7034 is 49441986.

2. What are the Factors of 7029?

Answer: Factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029. There are 12 integers that are factors of 7029. The greatest factor of 7029 is 7029.

3. What are the Factors of 7034?

Answer: Factors of 7034 are 1, 2, 3517, 7034. There are 4 integers that are factors of 7034. The greatest factor of 7034 is 7034.

4. How to Find the LCM of 7029 and 7034?

Answer:

Least Common Multiple of 7029 and 7034 = 49441986

Step 1: Find the prime factorization of 7029

7029 = 3 x 3 x 11 x 71

Step 2: Find the prime factorization of 7034

7034 = 2 x 3517

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

LCM = 49441986 = 2 x 3 x 3 x 11 x 71 x 3517

Step 4: Therefore, the least common multiple of 7029 and 7034 is 49441986.