Least Common Multiple of 252 and 258

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 258 the smallest integer that is 10836 that is divisible by both numbers.

Least Common Multiple (LCM) of 252 and 258 is 10836.

LCM(252,258) = 10836

LCM of 252 and 258

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

LCM of:
and

Least Common Multiple of 252 and 258

LCM of 252 and 258 is 10836

Least common multiple can be found by multiplying the highest exponent prime factors of 252 and 258. First we will calculate the prime factors of 252 and 258.

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 258


2 258
3 129
43 43
1

Prime factors of 258 are 2, 3,43. Prime factorization of 258 in exponential form is:

258 = 21×31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 252 and 258.

LCM(252,258) = 22×32×71×431
LCM(252,258) = 10836

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 258

List of positive integer factors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Least Common Multiple of 252 and 258 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 258, than apply into the LCM equation.

GCF(252,258) = 6
LCM(252,258) = ( 252 × 258) / 6
LCM(252,258) = 65016 / 6
LCM(252,258) = 10836

Properties of LCM 252 and 258

(i) The LCM of 258 and 252 is associative

LCM of 252 and 258 = LCM of 258 and 252

Related Least Common Multiples of 252

Related Least Common Multiples of 258

Frequently Asked Questions on LCM of 252 and 258

1. What is the LCM of 252 and 258?

Answer: LCM of 252 and 258 is 10836.

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 258?

Answer: Factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258. There are 8 integers that are factors of 258. The greatest factor of 258 is 258.

4. How to Find the LCM of 252 and 258?

Answer:

Least Common Multiple of 252 and 258 = 10836

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 258

258 = 2 x 3 x 43

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

LCM = 10836 = 2 x 2 x 3 x 3 x 7 x 43

Step 4: Therefore, the least common multiple of 252 and 258 is 10836.