Least Common Multiple of 252 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 252 and 254 the smallest integer that is 32004 that is divisible by both numbers.

Least Common Multiple (LCM) of 252 and 254 is 32004.

LCM(252,254) = 32004

LCM of 252 and 254

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

LCM of:
and

Least Common Multiple of 252 and 254

LCM of 252 and 254 is 32004

Least common multiple can be found by multiplying the highest exponent prime factors of 252 and 254. First we will calculate the prime factors of 252 and 254.

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 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 252 and 254.

LCM(252,254) = 22×32×71×1271
LCM(252,254) = 32004

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 254

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

1, 2, 127, 254

Least Common Multiple of 252 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 252 and 254, than apply into the LCM equation.

GCF(252,254) = 2
LCM(252,254) = ( 252 × 254) / 2
LCM(252,254) = 64008 / 2
LCM(252,254) = 32004

Properties of LCM 252 and 254

(i) The LCM of 254 and 252 is associative

LCM of 252 and 254 = LCM of 254 and 252

Related Least Common Multiples of 252

Related Least Common Multiples of 254

Frequently Asked Questions on LCM of 252 and 254

1. What is the LCM of 252 and 254?

Answer: LCM of 252 and 254 is 32004.

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 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 252 and 254?

Answer:

Least Common Multiple of 252 and 254 = 32004

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 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 = 32004 = 2 x 2 x 3 x 3 x 7 x 127

Step 4: Therefore, the least common multiple of 252 and 254 is 32004.