Least Common Multiple of 252 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 252 and 253 the smallest integer that is 63756 that is divisible by both numbers.

Least Common Multiple (LCM) of 252 and 253 is 63756.

LCM(252,253) = 63756

LCM of 252 and 253

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

LCM of:
and

Least Common Multiple of 252 and 253

LCM of 252 and 253 is 63756

Least common multiple can be found by multiplying the highest exponent prime factors of 252 and 253. First we will calculate the prime factors of 252 and 253.

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

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 252 and 253.

LCM(252,253) = 22×32×71×111×231
LCM(252,253) = 63756

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

Factors of 253

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

1, 11, 23, 253

Least Common Multiple of 252 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 252 and 253, than apply into the LCM equation.

GCF(252,253) = 1
LCM(252,253) = ( 252 × 253) / 1
LCM(252,253) = 63756 / 1
LCM(252,253) = 63756

Properties of LCM 252 and 253

(i) The LCM of 253 and 252 is associative

LCM of 252 and 253 = LCM of 253 and 252

Related Least Common Multiples of 252

Related Least Common Multiples of 253

Frequently Asked Questions on LCM of 252 and 253

1. What is the LCM of 252 and 253?

Answer: LCM of 252 and 253 is 63756.

2. 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.

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 252 and 253?

Answer:

Least Common Multiple of 252 and 253 = 63756

Step 1: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

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 = 63756 = 2 x 2 x 3 x 3 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 252 and 253 is 63756.