Least Common Multiple of 538 and 545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 538 and 545 the smallest integer that is 293210 that is divisible by both numbers.

Least Common Multiple (LCM) of 538 and 545 is 293210.

LCM(538,545) = 293210

LCM of 538 and 545

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

LCM of:
and

Least Common Multiple of 538 and 545

LCM of 538 and 545 is 293210

Least common multiple can be found by multiplying the highest exponent prime factors of 538 and 545. First we will calculate the prime factors of 538 and 545.

Prime Factorization of 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

Prime Factorization of 545


5 545
109 109
1

Prime factors of 545 are 5,109. Prime factorization of 545 in exponential form is:

545 = 51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 538 and 545.

LCM(538,545) = 21×51×1091×2691
LCM(538,545) = 293210

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Least Common Multiple of 538 and 545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 538 and 545, than apply into the LCM equation.

GCF(538,545) = 1
LCM(538,545) = ( 538 × 545) / 1
LCM(538,545) = 293210 / 1
LCM(538,545) = 293210

Properties of LCM 538 and 545

(i) The LCM of 545 and 538 is associative

LCM of 538 and 545 = LCM of 545 and 538

Related Least Common Multiples of 538

Related Least Common Multiples of 545

Frequently Asked Questions on LCM of 538 and 545

1. What is the LCM of 538 and 545?

Answer: LCM of 538 and 545 is 293210.

2. What are the Factors of 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

3. What are the Factors of 545?

Answer: Factors of 545 are 1, 5, 109, 545. There are 4 integers that are factors of 545. The greatest factor of 545 is 545.

4. How to Find the LCM of 538 and 545?

Answer:

Least Common Multiple of 538 and 545 = 293210

Step 1: Find the prime factorization of 538

538 = 2 x 269

Step 2: Find the prime factorization of 545

545 = 5 x 109

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

LCM = 293210 = 2 x 5 x 109 x 269

Step 4: Therefore, the least common multiple of 538 and 545 is 293210.