Least Common Multiple of 248 and 254

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 254 the smallest integer that is 31496 that is divisible by both numbers.

Least Common Multiple (LCM) of 248 and 254 is 31496.

LCM(248,254) = 31496

LCM of 248 and 254

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

LCM of:
and

Least Common Multiple of 248 and 254

LCM of 248 and 254 is 31496

Least common multiple can be found by multiplying the highest exponent prime factors of 248 and 254. First we will calculate the prime factors of 248 and 254.

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 254


2 254
127 127
1

Prime factors of 254 are 2,127. Prime factorization of 254 in exponential form is:

254 = 21×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 248 and 254.

LCM(248,254) = 23×311×1271
LCM(248,254) = 31496

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 254

List of positive integer factors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Least Common Multiple of 248 and 254 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 254, than apply into the LCM equation.

GCF(248,254) = 2
LCM(248,254) = ( 248 × 254) / 2
LCM(248,254) = 62992 / 2
LCM(248,254) = 31496

Properties of LCM 248 and 254

(i) The LCM of 254 and 248 is associative

LCM of 248 and 254 = LCM of 254 and 248

Related Least Common Multiples of 248

Related Least Common Multiples of 254

Frequently Asked Questions on LCM of 248 and 254

1. What is the LCM of 248 and 254?

Answer: LCM of 248 and 254 is 31496.

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 254?

Answer: Factors of 254 are 1, 2, 127, 254. There are 4 integers that are factors of 254. The greatest factor of 254 is 254.

4. How to Find the LCM of 248 and 254?

Answer:

Least Common Multiple of 248 and 254 = 31496

Step 1: Find the prime factorization of 248

248 = 2 x 2 x 2 x 31

Step 2: Find the prime factorization of 254

254 = 2 x 127

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

LCM = 31496 = 2 x 2 x 2 x 31 x 127

Step 4: Therefore, the least common multiple of 248 and 254 is 31496.