Least Common Multiple of 545 and 552

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 552 the smallest integer that is 300840 that is divisible by both numbers.

Least Common Multiple (LCM) of 545 and 552 is 300840.

LCM(545,552) = 300840

LCM of 545 and 552

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

LCM of:
and

Least Common Multiple of 545 and 552

LCM of 545 and 552 is 300840

Least common multiple can be found by multiplying the highest exponent prime factors of 545 and 552. First we will calculate the prime factors of 545 and 552.

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 552


2 552
2 276
2 138
3 69
23 23
1

Prime factors of 552 are 2, 3,23. Prime factorization of 552 in exponential form is:

552 = 23×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 545 and 552.

LCM(545,552) = 23×31×51×231×1091
LCM(545,552) = 300840

Factors of 545

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

1, 5, 109, 545

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Least Common Multiple of 545 and 552 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 552, than apply into the LCM equation.

GCF(545,552) = 1
LCM(545,552) = ( 545 × 552) / 1
LCM(545,552) = 300840 / 1
LCM(545,552) = 300840

Properties of LCM 545 and 552

(i) The LCM of 552 and 545 is associative

LCM of 545 and 552 = LCM of 552 and 545

Related Least Common Multiples of 545

Related Least Common Multiples of 552

Frequently Asked Questions on LCM of 545 and 552

1. What is the LCM of 545 and 552?

Answer: LCM of 545 and 552 is 300840.

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 552?

Answer: Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552. There are 16 integers that are factors of 552. The greatest factor of 552 is 552.

4. How to Find the LCM of 545 and 552?

Answer:

Least Common Multiple of 545 and 552 = 300840

Step 1: Find the prime factorization of 545

545 = 5 x 109

Step 2: Find the prime factorization of 552

552 = 2 x 2 x 2 x 3 x 23

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

LCM = 300840 = 2 x 2 x 2 x 3 x 5 x 23 x 109

Step 4: Therefore, the least common multiple of 545 and 552 is 300840.