Least Common Multiple of 544 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 544 and 545 the smallest integer that is 296480 that is divisible by both numbers.

Least Common Multiple (LCM) of 544 and 545 is 296480.

LCM(544,545) = 296480

LCM of 544 and 545

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

LCM of:
and

Least Common Multiple of 544 and 545

LCM of 544 and 545 is 296480

Least common multiple can be found by multiplying the highest exponent prime factors of 544 and 545. First we will calculate the prime factors of 544 and 545.

Prime Factorization of 544


2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 544 are 2,17. Prime factorization of 544 in exponential form is:

544 = 25×171

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 544 and 545.

LCM(544,545) = 25×51×171×1091
LCM(544,545) = 296480

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Factors of 545

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

1, 5, 109, 545

Least Common Multiple of 544 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 544 and 545, than apply into the LCM equation.

GCF(544,545) = 1
LCM(544,545) = ( 544 × 545) / 1
LCM(544,545) = 296480 / 1
LCM(544,545) = 296480

Properties of LCM 544 and 545

(i) The LCM of 545 and 544 is associative

LCM of 544 and 545 = LCM of 545 and 544

Related Least Common Multiples of 544

Related Least Common Multiples of 545

Frequently Asked Questions on LCM of 544 and 545

1. What is the LCM of 544 and 545?

Answer: LCM of 544 and 545 is 296480.

2. What are the Factors of 544?

Answer: Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. There are 12 integers that are factors of 544. The greatest factor of 544 is 544.

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 544 and 545?

Answer:

Least Common Multiple of 544 and 545 = 296480

Step 1: Find the prime factorization of 544

544 = 2 x 2 x 2 x 2 x 2 x 17

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 = 296480 = 2 x 2 x 2 x 2 x 2 x 5 x 17 x 109

Step 4: Therefore, the least common multiple of 544 and 545 is 296480.