Least Common Multiple of 248 and 252

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 252 the smallest integer that is 15624 that is divisible by both numbers.

Least Common Multiple (LCM) of 248 and 252 is 15624.

LCM(248,252) = 15624

LCM of 248 and 252

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

LCM of:
and

Least Common Multiple of 248 and 252

LCM of 248 and 252 is 15624

Least common multiple can be found by multiplying the highest exponent prime factors of 248 and 252. First we will calculate the prime factors of 248 and 252.

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 252


2 252
2 126
3 63
3 21
7 7
1

Prime factors of 252 are 2, 3,7. Prime factorization of 252 in exponential form is:

252 = 22×32×71

Now multiplying the highest exponent prime factors to calculate the LCM of 248 and 252.

LCM(248,252) = 23×32×71×311
LCM(248,252) = 15624

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 252

List of positive integer factors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Least Common Multiple of 248 and 252 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 252, than apply into the LCM equation.

GCF(248,252) = 4
LCM(248,252) = ( 248 × 252) / 4
LCM(248,252) = 62496 / 4
LCM(248,252) = 15624

Properties of LCM 248 and 252

(i) The LCM of 252 and 248 is associative

LCM of 248 and 252 = LCM of 252 and 248

Related Least Common Multiples of 248

Related Least Common Multiples of 252

Frequently Asked Questions on LCM of 248 and 252

1. What is the LCM of 248 and 252?

Answer: LCM of 248 and 252 is 15624.

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 252?

Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.

4. How to Find the LCM of 248 and 252?

Answer:

Least Common Multiple of 248 and 252 = 15624

Step 1: Find the prime factorization of 248

248 = 2 x 2 x 2 x 31

Step 2: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

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

LCM = 15624 = 2 x 2 x 2 x 3 x 3 x 7 x 31

Step 4: Therefore, the least common multiple of 248 and 252 is 15624.