Least Common Multiple of 7050 and 7054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7050 and 7054 the smallest integer that is 24865350 that is divisible by both numbers.

Least Common Multiple (LCM) of 7050 and 7054 is 24865350.

LCM(7050,7054) = 24865350

LCM of 7050 and 7054

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

LCM of:
and

Least Common Multiple of 7050 and 7054

LCM of 7050 and 7054 is 24865350

Least common multiple can be found by multiplying the highest exponent prime factors of 7050 and 7054. First we will calculate the prime factors of 7050 and 7054.

Prime Factorization of 7050


2 7050
3 3525
5 1175
5 235
47 47
1

Prime factors of 7050 are 2, 3, 5,47. Prime factorization of 7050 in exponential form is:

7050 = 21×31×52×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7050 and 7054.

LCM(7050,7054) = 21×31×52×471×35271
LCM(7050,7054) = 24865350

Factors of 7050

List of positive integer factors of 7050 that divides 7050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050

Factors of 7054

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

1, 2, 3527, 7054

Least Common Multiple of 7050 and 7054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7050 and 7054, than apply into the LCM equation.

GCF(7050,7054) = 2
LCM(7050,7054) = ( 7050 × 7054) / 2
LCM(7050,7054) = 49730700 / 2
LCM(7050,7054) = 24865350

Properties of LCM 7050 and 7054

(i) The LCM of 7054 and 7050 is associative

LCM of 7050 and 7054 = LCM of 7054 and 7050

Related Least Common Multiples of 7050

Related Least Common Multiples of 7054

Frequently Asked Questions on LCM of 7050 and 7054

1. What is the LCM of 7050 and 7054?

Answer: LCM of 7050 and 7054 is 24865350.

2. What are the Factors of 7050?

Answer: Factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050. There are 24 integers that are factors of 7050. The greatest factor of 7050 is 7050.

3. 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.

4. How to Find the LCM of 7050 and 7054?

Answer:

Least Common Multiple of 7050 and 7054 = 24865350

Step 1: Find the prime factorization of 7050

7050 = 2 x 3 x 5 x 5 x 47

Step 2: Find the prime factorization of 7054

7054 = 2 x 3527

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

LCM = 24865350 = 2 x 3 x 5 x 5 x 47 x 3527

Step 4: Therefore, the least common multiple of 7050 and 7054 is 24865350.