Least Common Multiple of 244 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 244 and 252 the smallest integer that is 15372 that is divisible by both numbers.

Least Common Multiple (LCM) of 244 and 252 is 15372.

LCM(244,252) = 15372

LCM of 244 and 252

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

LCM of:
and

Least Common Multiple of 244 and 252

LCM of 244 and 252 is 15372

Least common multiple can be found by multiplying the highest exponent prime factors of 244 and 252. First we will calculate the prime factors of 244 and 252.

Prime Factorization of 244


2 244
2 122
61 61
1

Prime factors of 244 are 2,61. Prime factorization of 244 in exponential form is:

244 = 22×611

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 244 and 252.

LCM(244,252) = 22×32×71×611
LCM(244,252) = 15372

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

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 244 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 244 and 252, than apply into the LCM equation.

GCF(244,252) = 4
LCM(244,252) = ( 244 × 252) / 4
LCM(244,252) = 61488 / 4
LCM(244,252) = 15372

Properties of LCM 244 and 252

(i) The LCM of 252 and 244 is associative

LCM of 244 and 252 = LCM of 252 and 244

Related Least Common Multiples of 244

Related Least Common Multiples of 252

Frequently Asked Questions on LCM of 244 and 252

1. What is the LCM of 244 and 252?

Answer: LCM of 244 and 252 is 15372.

2. What are the Factors of 244?

Answer: Factors of 244 are 1, 2, 4, 61, 122, 244. There are 6 integers that are factors of 244. The greatest factor of 244 is 244.

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 244 and 252?

Answer:

Least Common Multiple of 244 and 252 = 15372

Step 1: Find the prime factorization of 244

244 = 2 x 2 x 61

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 = 15372 = 2 x 2 x 3 x 3 x 7 x 61

Step 4: Therefore, the least common multiple of 244 and 252 is 15372.