Least Common Multiple of 252 and 257

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 257 the smallest integer that is 64764 that is divisible by both numbers.

Least Common Multiple (LCM) of 252 and 257 is 64764.

LCM(252,257) = 64764

LCM of 252 and 257

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

LCM of:
and

Least Common Multiple of 252 and 257

LCM of 252 and 257 is 64764

Least common multiple can be found by multiplying the highest exponent prime factors of 252 and 257. First we will calculate the prime factors of 252 and 257.

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 257


257 257
1

Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:

257 = 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 252 and 257.

LCM(252,257) = 22×32×71×2571
LCM(252,257) = 64764

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 257

List of positive integer factors of 257 that divides 257 without a remainder.

1, 257

Least Common Multiple of 252 and 257 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 257, than apply into the LCM equation.

GCF(252,257) = 1
LCM(252,257) = ( 252 × 257) / 1
LCM(252,257) = 64764 / 1
LCM(252,257) = 64764

Properties of LCM 252 and 257

(i) The LCM of 257 and 252 is associative

LCM of 252 and 257 = LCM of 257 and 252

Related Least Common Multiples of 252

Related Least Common Multiples of 257

Frequently Asked Questions on LCM of 252 and 257

1. What is the LCM of 252 and 257?

Answer: LCM of 252 and 257 is 64764.

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 257?

Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.

4. How to Find the LCM of 252 and 257?

Answer:

Least Common Multiple of 252 and 257 = 64764

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 257

257 = 257

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

LCM = 64764 = 2 x 2 x 3 x 3 x 7 x 257

Step 4: Therefore, the least common multiple of 252 and 257 is 64764.