Least Common Multiple of 248 and 253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 248 and 253 the smallest integer that is 62744 that is divisible by both numbers.

Least Common Multiple (LCM) of 248 and 253 is 62744.

LCM(248,253) = 62744

LCM of 248 and 253

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

LCM of:
and

Least Common Multiple of 248 and 253

LCM of 248 and 253 is 62744

Least common multiple can be found by multiplying the highest exponent prime factors of 248 and 253. First we will calculate the prime factors of 248 and 253.

Prime Factorization of 248


2 248
2 124
2 62
31 31
1

Prime factors of 248 are 2,31. Prime factorization of 248 in exponential form is:

248 = 23×311

Prime Factorization of 253


11 253
23 23
1

Prime factors of 253 are 11,23. Prime factorization of 253 in exponential form is:

253 = 111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 248 and 253.

LCM(248,253) = 23×111×231×311
LCM(248,253) = 62744

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Least Common Multiple of 248 and 253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 248 and 253, than apply into the LCM equation.

GCF(248,253) = 1
LCM(248,253) = ( 248 × 253) / 1
LCM(248,253) = 62744 / 1
LCM(248,253) = 62744

Properties of LCM 248 and 253

(i) The LCM of 253 and 248 is associative

LCM of 248 and 253 = LCM of 253 and 248

Related Least Common Multiples of 248

Related Least Common Multiples of 253

Frequently Asked Questions on LCM of 248 and 253

1. What is the LCM of 248 and 253?

Answer: LCM of 248 and 253 is 62744.

2. What are the Factors of 248?

Answer: Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248. There are 8 integers that are factors of 248. The greatest factor of 248 is 248.

3. What are the Factors of 253?

Answer: Factors of 253 are 1, 11, 23, 253. There are 4 integers that are factors of 253. The greatest factor of 253 is 253.

4. How to Find the LCM of 248 and 253?

Answer:

Least Common Multiple of 248 and 253 = 62744

Step 1: Find the prime factorization of 248

248 = 2 x 2 x 2 x 31

Step 2: Find the prime factorization of 253

253 = 11 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 = 62744 = 2 x 2 x 2 x 11 x 23 x 31

Step 4: Therefore, the least common multiple of 248 and 253 is 62744.