Least Common Multiple of 501 and 505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 501 and 505 the smallest integer that is 253005 that is divisible by both numbers.

Least Common Multiple (LCM) of 501 and 505 is 253005.

LCM(501,505) = 253005

LCM of 501 and 505

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

LCM of:
and

Least Common Multiple of 501 and 505

LCM of 501 and 505 is 253005

Least common multiple can be found by multiplying the highest exponent prime factors of 501 and 505. First we will calculate the prime factors of 501 and 505.

Prime Factorization of 501


3 501
167 167
1

Prime factors of 501 are 3,167. Prime factorization of 501 in exponential form is:

501 = 31×1671

Prime Factorization of 505


5 505
101 101
1

Prime factors of 505 are 5,101. Prime factorization of 505 in exponential form is:

505 = 51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 501 and 505.

LCM(501,505) = 31×51×1011×1671
LCM(501,505) = 253005

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Least Common Multiple of 501 and 505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 501 and 505, than apply into the LCM equation.

GCF(501,505) = 1
LCM(501,505) = ( 501 × 505) / 1
LCM(501,505) = 253005 / 1
LCM(501,505) = 253005

Properties of LCM 501 and 505

(i) The LCM of 505 and 501 is associative

LCM of 501 and 505 = LCM of 505 and 501

Related Least Common Multiples of 501

Related Least Common Multiples of 505

Frequently Asked Questions on LCM of 501 and 505

1. What is the LCM of 501 and 505?

Answer: LCM of 501 and 505 is 253005.

2. What are the Factors of 501?

Answer: Factors of 501 are 1, 3, 167, 501. There are 4 integers that are factors of 501. The greatest factor of 501 is 501.

3. What are the Factors of 505?

Answer: Factors of 505 are 1, 5, 101, 505. There are 4 integers that are factors of 505. The greatest factor of 505 is 505.

4. How to Find the LCM of 501 and 505?

Answer:

Least Common Multiple of 501 and 505 = 253005

Step 1: Find the prime factorization of 501

501 = 3 x 167

Step 2: Find the prime factorization of 505

505 = 5 x 101

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

LCM = 253005 = 3 x 5 x 101 x 167

Step 4: Therefore, the least common multiple of 501 and 505 is 253005.