Least Common Multiple of 235 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 235 and 236 the smallest integer that is 55460 that is divisible by both numbers.

Least Common Multiple (LCM) of 235 and 236 is 55460.

LCM(235,236) = 55460

LCM of 235 and 236

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

LCM of:
and

Least Common Multiple of 235 and 236

LCM of 235 and 236 is 55460

Least common multiple can be found by multiplying the highest exponent prime factors of 235 and 236. First we will calculate the prime factors of 235 and 236.

Prime Factorization of 235


5 235
47 47
1

Prime factors of 235 are 5,47. Prime factorization of 235 in exponential form is:

235 = 51×471

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 235 and 236.

LCM(235,236) = 22×51×471×591
LCM(235,236) = 55460

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1, 5, 47, 235

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 235 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 235 and 236, than apply into the LCM equation.

GCF(235,236) = 1
LCM(235,236) = ( 235 × 236) / 1
LCM(235,236) = 55460 / 1
LCM(235,236) = 55460

Properties of LCM 235 and 236

(i) The LCM of 236 and 235 is associative

LCM of 235 and 236 = LCM of 236 and 235

Related Least Common Multiples of 235

Related Least Common Multiples of 236

Frequently Asked Questions on LCM of 235 and 236

1. What is the LCM of 235 and 236?

Answer: LCM of 235 and 236 is 55460.

2. What are the Factors of 235?

Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.

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 235 and 236?

Answer:

Least Common Multiple of 235 and 236 = 55460

Step 1: Find the prime factorization of 235

235 = 5 x 47

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 = 55460 = 2 x 2 x 5 x 47 x 59

Step 4: Therefore, the least common multiple of 235 and 236 is 55460.