Least Common Multiple of 545 and 550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 545 and 550 the smallest integer that is 59950 that is divisible by both numbers.

Least Common Multiple (LCM) of 545 and 550 is 59950.

LCM(545,550) = 59950

LCM of 545 and 550

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

LCM of:
and

Least Common Multiple of 545 and 550

LCM of 545 and 550 is 59950

Least common multiple can be found by multiplying the highest exponent prime factors of 545 and 550. First we will calculate the prime factors of 545 and 550.

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

Prime Factorization of 550


2 550
5 275
5 55
11 11
1

Prime factors of 550 are 2, 5,11. Prime factorization of 550 in exponential form is:

550 = 21×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 545 and 550.

LCM(545,550) = 21×52×111×1091
LCM(545,550) = 59950

Factors of 545

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

1, 5, 109, 545

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Least Common Multiple of 545 and 550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 545 and 550, than apply into the LCM equation.

GCF(545,550) = 5
LCM(545,550) = ( 545 × 550) / 5
LCM(545,550) = 299750 / 5
LCM(545,550) = 59950

Properties of LCM 545 and 550

(i) The LCM of 550 and 545 is associative

LCM of 545 and 550 = LCM of 550 and 545

Related Least Common Multiples of 545

Related Least Common Multiples of 550

Frequently Asked Questions on LCM of 545 and 550

1. What is the LCM of 545 and 550?

Answer: LCM of 545 and 550 is 59950.

2. 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.

3. What are the Factors of 550?

Answer: Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550. There are 12 integers that are factors of 550. The greatest factor of 550 is 550.

4. How to Find the LCM of 545 and 550?

Answer:

Least Common Multiple of 545 and 550 = 59950

Step 1: Find the prime factorization of 545

545 = 5 x 109

Step 2: Find the prime factorization of 550

550 = 2 x 5 x 5 x 11

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

LCM = 59950 = 2 x 5 x 5 x 11 x 109

Step 4: Therefore, the least common multiple of 545 and 550 is 59950.