Least Common Multiple of 236 and 244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 236 and 244 the smallest integer that is 14396 that is divisible by both numbers.

Least Common Multiple (LCM) of 236 and 244 is 14396.

LCM(236,244) = 14396

LCM of 236 and 244

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

LCM of:
and

Least Common Multiple of 236 and 244

LCM of 236 and 244 is 14396

Least common multiple can be found by multiplying the highest exponent prime factors of 236 and 244. First we will calculate the prime factors of 236 and 244.

Prime Factorization of 236


2 236
2 118
59 59
1

Prime factors of 236 are 2,59. Prime factorization of 236 in exponential form is:

236 = 22×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 236 and 244.

LCM(236,244) = 22×591×611
LCM(236,244) = 14396

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Factors of 244

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

1, 2, 4, 61, 122, 244

Least Common Multiple of 236 and 244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 236 and 244, than apply into the LCM equation.

GCF(236,244) = 4
LCM(236,244) = ( 236 × 244) / 4
LCM(236,244) = 57584 / 4
LCM(236,244) = 14396

Properties of LCM 236 and 244

(i) The LCM of 244 and 236 is associative

LCM of 236 and 244 = LCM of 244 and 236

Related Least Common Multiples of 236

Related Least Common Multiples of 244

Frequently Asked Questions on LCM of 236 and 244

1. What is the LCM of 236 and 244?

Answer: LCM of 236 and 244 is 14396.

2. What are the Factors of 236?

Answer: Factors of 236 are 1, 2, 4, 59, 118, 236. There are 6 integers that are factors of 236. The greatest factor of 236 is 236.

3. 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.

4. How to Find the LCM of 236 and 244?

Answer:

Least Common Multiple of 236 and 244 = 14396

Step 1: Find the prime factorization of 236

236 = 2 x 2 x 59

Step 2: Find the prime factorization of 244

244 = 2 x 2 x 61

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

LCM = 14396 = 2 x 2 x 59 x 61

Step 4: Therefore, the least common multiple of 236 and 244 is 14396.