Least Common Multiple of 498 and 501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 498 and 501 the smallest integer that is 83166 that is divisible by both numbers.

Least Common Multiple (LCM) of 498 and 501 is 83166.

LCM(498,501) = 83166

LCM of 498 and 501

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

LCM of:
and

Least Common Multiple of 498 and 501

LCM of 498 and 501 is 83166

Least common multiple can be found by multiplying the highest exponent prime factors of 498 and 501. First we will calculate the prime factors of 498 and 501.

Prime Factorization of 498


2 498
3 249
83 83
1

Prime factors of 498 are 2, 3,83. Prime factorization of 498 in exponential form is:

498 = 21×31×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 498 and 501.

LCM(498,501) = 21×31×831×1671
LCM(498,501) = 83166

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Factors of 501

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

1, 3, 167, 501

Least Common Multiple of 498 and 501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 498 and 501, than apply into the LCM equation.

GCF(498,501) = 3
LCM(498,501) = ( 498 × 501) / 3
LCM(498,501) = 249498 / 3
LCM(498,501) = 83166

Properties of LCM 498 and 501

(i) The LCM of 501 and 498 is associative

LCM of 498 and 501 = LCM of 501 and 498

Related Least Common Multiples of 498

Related Least Common Multiples of 501

Frequently Asked Questions on LCM of 498 and 501

1. What is the LCM of 498 and 501?

Answer: LCM of 498 and 501 is 83166.

2. What are the Factors of 498?

Answer: Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498. There are 8 integers that are factors of 498. The greatest factor of 498 is 498.

3. 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.

4. How to Find the LCM of 498 and 501?

Answer:

Least Common Multiple of 498 and 501 = 83166

Step 1: Find the prime factorization of 498

498 = 2 x 3 x 83

Step 2: Find the prime factorization of 501

501 = 3 x 167

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

LCM = 83166 = 2 x 3 x 83 x 167

Step 4: Therefore, the least common multiple of 498 and 501 is 83166.