Least Common Multiple of 502 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 502 and 505 the smallest integer that is 253510 that is divisible by both numbers.

Least Common Multiple (LCM) of 502 and 505 is 253510.

LCM(502,505) = 253510

LCM of 502 and 505

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

LCM of:
and

Least Common Multiple of 502 and 505

LCM of 502 and 505 is 253510

Least common multiple can be found by multiplying the highest exponent prime factors of 502 and 505. First we will calculate the prime factors of 502 and 505.

Prime Factorization of 502


2 502
251 251
1

Prime factors of 502 are 2,251. Prime factorization of 502 in exponential form is:

502 = 21×2511

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 502 and 505.

LCM(502,505) = 21×51×1011×2511
LCM(502,505) = 253510

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Factors of 505

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

1, 5, 101, 505

Least Common Multiple of 502 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 502 and 505, than apply into the LCM equation.

GCF(502,505) = 1
LCM(502,505) = ( 502 × 505) / 1
LCM(502,505) = 253510 / 1
LCM(502,505) = 253510

Properties of LCM 502 and 505

(i) The LCM of 505 and 502 is associative

LCM of 502 and 505 = LCM of 505 and 502

Related Least Common Multiples of 502

Related Least Common Multiples of 505

Frequently Asked Questions on LCM of 502 and 505

1. What is the LCM of 502 and 505?

Answer: LCM of 502 and 505 is 253510.

2. What are the Factors of 502?

Answer: Factors of 502 are 1, 2, 251, 502. There are 4 integers that are factors of 502. The greatest factor of 502 is 502.

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 502 and 505?

Answer:

Least Common Multiple of 502 and 505 = 253510

Step 1: Find the prime factorization of 502

502 = 2 x 251

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 = 253510 = 2 x 5 x 101 x 251

Step 4: Therefore, the least common multiple of 502 and 505 is 253510.