Least Common Multiple of 236 and 237

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 237 the smallest integer that is 55932 that is divisible by both numbers.

Least Common Multiple (LCM) of 236 and 237 is 55932.

LCM(236,237) = 55932

LCM of 236 and 237

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

LCM of:
and

Least Common Multiple of 236 and 237

LCM of 236 and 237 is 55932

Least common multiple can be found by multiplying the highest exponent prime factors of 236 and 237. First we will calculate the prime factors of 236 and 237.

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 237


3 237
79 79
1

Prime factors of 237 are 3,79. Prime factorization of 237 in exponential form is:

237 = 31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 236 and 237.

LCM(236,237) = 22×31×591×791
LCM(236,237) = 55932

Factors of 236

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

1, 2, 4, 59, 118, 236

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Least Common Multiple of 236 and 237 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 237, than apply into the LCM equation.

GCF(236,237) = 1
LCM(236,237) = ( 236 × 237) / 1
LCM(236,237) = 55932 / 1
LCM(236,237) = 55932

Properties of LCM 236 and 237

(i) The LCM of 237 and 236 is associative

LCM of 236 and 237 = LCM of 237 and 236

Related Least Common Multiples of 236

Related Least Common Multiples of 237

Frequently Asked Questions on LCM of 236 and 237

1. What is the LCM of 236 and 237?

Answer: LCM of 236 and 237 is 55932.

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 237?

Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.

4. How to Find the LCM of 236 and 237?

Answer:

Least Common Multiple of 236 and 237 = 55932

Step 1: Find the prime factorization of 236

236 = 2 x 2 x 59

Step 2: Find the prime factorization of 237

237 = 3 x 79

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

LCM = 55932 = 2 x 2 x 3 x 59 x 79

Step 4: Therefore, the least common multiple of 236 and 237 is 55932.