Least Common Multiple of 7054 and 7059

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7054 and 7059 the smallest integer that is 49794186 that is divisible by both numbers.

Least Common Multiple (LCM) of 7054 and 7059 is 49794186.

LCM(7054,7059) = 49794186

LCM of 7054 and 7059

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

LCM of:
and

Least Common Multiple of 7054 and 7059

LCM of 7054 and 7059 is 49794186

Least common multiple can be found by multiplying the highest exponent prime factors of 7054 and 7059. First we will calculate the prime factors of 7054 and 7059.

Prime Factorization of 7054


2 7054
3527 3527
1

Prime factors of 7054 are 2,3527. Prime factorization of 7054 in exponential form is:

7054 = 21×35271

Prime Factorization of 7059


3 7059
13 2353
181 181
1

Prime factors of 7059 are 3, 13,181. Prime factorization of 7059 in exponential form is:

7059 = 31×131×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 7054 and 7059.

LCM(7054,7059) = 21×31×131×1811×35271
LCM(7054,7059) = 49794186

Factors of 7054

List of positive integer factors of 7054 that divides 7054 without a remainder.

1, 2, 3527, 7054

Factors of 7059

List of positive integer factors of 7059 that divides 7059 without a remainder.

1, 3, 13, 39, 181, 543, 2353, 7059

Least Common Multiple of 7054 and 7059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7054 and 7059, than apply into the LCM equation.

GCF(7054,7059) = 1
LCM(7054,7059) = ( 7054 × 7059) / 1
LCM(7054,7059) = 49794186 / 1
LCM(7054,7059) = 49794186

Properties of LCM 7054 and 7059

(i) The LCM of 7059 and 7054 is associative

LCM of 7054 and 7059 = LCM of 7059 and 7054

Related Least Common Multiples of 7054

Related Least Common Multiples of 7059

Frequently Asked Questions on LCM of 7054 and 7059

1. What is the LCM of 7054 and 7059?

Answer: LCM of 7054 and 7059 is 49794186.

2. What are the Factors of 7054?

Answer: Factors of 7054 are 1, 2, 3527, 7054. There are 4 integers that are factors of 7054. The greatest factor of 7054 is 7054.

3. What are the Factors of 7059?

Answer: Factors of 7059 are 1, 3, 13, 39, 181, 543, 2353, 7059. There are 8 integers that are factors of 7059. The greatest factor of 7059 is 7059.

4. How to Find the LCM of 7054 and 7059?

Answer:

Least Common Multiple of 7054 and 7059 = 49794186

Step 1: Find the prime factorization of 7054

7054 = 2 x 3527

Step 2: Find the prime factorization of 7059

7059 = 3 x 13 x 181

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

LCM = 49794186 = 2 x 3 x 13 x 181 x 3527

Step 4: Therefore, the least common multiple of 7054 and 7059 is 49794186.