Least Common Multiple of 5350 and 5354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5350 and 5354 the smallest integer that is 14321950 that is divisible by both numbers.

Least Common Multiple (LCM) of 5350 and 5354 is 14321950.

LCM(5350,5354) = 14321950

LCM of 5350 and 5354

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

LCM of:
and

Least Common Multiple of 5350 and 5354

LCM of 5350 and 5354 is 14321950

Least common multiple can be found by multiplying the highest exponent prime factors of 5350 and 5354. First we will calculate the prime factors of 5350 and 5354.

Prime Factorization of 5350


2 5350
5 2675
5 535
107 107
1

Prime factors of 5350 are 2, 5,107. Prime factorization of 5350 in exponential form is:

5350 = 21×52×1071

Prime Factorization of 5354


2 5354
2677 2677
1

Prime factors of 5354 are 2,2677. Prime factorization of 5354 in exponential form is:

5354 = 21×26771

Now multiplying the highest exponent prime factors to calculate the LCM of 5350 and 5354.

LCM(5350,5354) = 21×52×1071×26771
LCM(5350,5354) = 14321950

Factors of 5350

List of positive integer factors of 5350 that divides 5350 without a remainder.

1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350

Factors of 5354

List of positive integer factors of 5354 that divides 5354 without a remainder.

1, 2, 2677, 5354

Least Common Multiple of 5350 and 5354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5350 and 5354, than apply into the LCM equation.

GCF(5350,5354) = 2
LCM(5350,5354) = ( 5350 × 5354) / 2
LCM(5350,5354) = 28643900 / 2
LCM(5350,5354) = 14321950

Properties of LCM 5350 and 5354

(i) The LCM of 5354 and 5350 is associative

LCM of 5350 and 5354 = LCM of 5354 and 5350

Related Least Common Multiples of 5350

Related Least Common Multiples of 5354

Frequently Asked Questions on LCM of 5350 and 5354

1. What is the LCM of 5350 and 5354?

Answer: LCM of 5350 and 5354 is 14321950.

2. What are the Factors of 5350?

Answer: Factors of 5350 are 1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350. There are 12 integers that are factors of 5350. The greatest factor of 5350 is 5350.

3. What are the Factors of 5354?

Answer: Factors of 5354 are 1, 2, 2677, 5354. There are 4 integers that are factors of 5354. The greatest factor of 5354 is 5354.

4. How to Find the LCM of 5350 and 5354?

Answer:

Least Common Multiple of 5350 and 5354 = 14321950

Step 1: Find the prime factorization of 5350

5350 = 2 x 5 x 5 x 107

Step 2: Find the prime factorization of 5354

5354 = 2 x 2677

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

LCM = 14321950 = 2 x 5 x 5 x 107 x 2677

Step 4: Therefore, the least common multiple of 5350 and 5354 is 14321950.