Least Common Multiple of 216 and 236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 216 and 236 the smallest integer that is 12744 that is divisible by both numbers.

Least Common Multiple (LCM) of 216 and 236 is 12744.

LCM(216,236) = 12744

LCM of 216 and 236

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

LCM of:
and

Least Common Multiple of 216 and 236

LCM of 216 and 236 is 12744

Least common multiple can be found by multiplying the highest exponent prime factors of 216 and 236. First we will calculate the prime factors of 216 and 236.

Prime Factorization of 216


2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 216 are 2,3. Prime factorization of 216 in exponential form is:

216 = 23×33

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

Now multiplying the highest exponent prime factors to calculate the LCM of 216 and 236.

LCM(216,236) = 23×33×591
LCM(216,236) = 12744

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Factors of 236

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

1, 2, 4, 59, 118, 236

Least Common Multiple of 216 and 236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 216 and 236, than apply into the LCM equation.

GCF(216,236) = 4
LCM(216,236) = ( 216 × 236) / 4
LCM(216,236) = 50976 / 4
LCM(216,236) = 12744

Properties of LCM 216 and 236

(i) The LCM of 236 and 216 is associative

LCM of 216 and 236 = LCM of 236 and 216

Related Least Common Multiples of 216

Related Least Common Multiples of 236

Frequently Asked Questions on LCM of 216 and 236

1. What is the LCM of 216 and 236?

Answer: LCM of 216 and 236 is 12744.

2. What are the Factors of 216?

Answer: Factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216. There are 16 integers that are factors of 216. The greatest factor of 216 is 216.

3. 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.

4. How to Find the LCM of 216 and 236?

Answer:

Least Common Multiple of 216 and 236 = 12744

Step 1: Find the prime factorization of 216

216 = 2 x 2 x 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 236

236 = 2 x 2 x 59

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

LCM = 12744 = 2 x 2 x 2 x 3 x 3 x 3 x 59

Step 4: Therefore, the least common multiple of 216 and 236 is 12744.