Least Common Multiple of 4236 and 4240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4236 and 4240 the smallest integer that is 4490160 that is divisible by both numbers.

Least Common Multiple (LCM) of 4236 and 4240 is 4490160.

LCM(4236,4240) = 4490160

LCM of 4236 and 4240

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

LCM of:
and

Least Common Multiple of 4236 and 4240

LCM of 4236 and 4240 is 4490160

Least common multiple can be found by multiplying the highest exponent prime factors of 4236 and 4240. First we will calculate the prime factors of 4236 and 4240.

Prime Factorization of 4236


2 4236
2 2118
3 1059
353 353
1

Prime factors of 4236 are 2, 3,353. Prime factorization of 4236 in exponential form is:

4236 = 22×31×3531

Prime Factorization of 4240


2 4240
2 2120
2 1060
2 530
5 265
53 53
1

Prime factors of 4240 are 2, 5,53. Prime factorization of 4240 in exponential form is:

4240 = 24×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4236 and 4240.

LCM(4236,4240) = 24×31×51×531×3531
LCM(4236,4240) = 4490160

Factors of 4236

List of positive integer factors of 4236 that divides 4236 without a remainder.

1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236

Factors of 4240

List of positive integer factors of 4240 that divides 4240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240

Least Common Multiple of 4236 and 4240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4236 and 4240, than apply into the LCM equation.

GCF(4236,4240) = 4
LCM(4236,4240) = ( 4236 × 4240) / 4
LCM(4236,4240) = 17960640 / 4
LCM(4236,4240) = 4490160

Properties of LCM 4236 and 4240

(i) The LCM of 4240 and 4236 is associative

LCM of 4236 and 4240 = LCM of 4240 and 4236

Related Least Common Multiples of 4236

Related Least Common Multiples of 4240

Frequently Asked Questions on LCM of 4236 and 4240

1. What is the LCM of 4236 and 4240?

Answer: LCM of 4236 and 4240 is 4490160.

2. What are the Factors of 4236?

Answer: Factors of 4236 are 1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236. There are 12 integers that are factors of 4236. The greatest factor of 4236 is 4236.

3. What are the Factors of 4240?

Answer: Factors of 4240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240. There are 20 integers that are factors of 4240. The greatest factor of 4240 is 4240.

4. How to Find the LCM of 4236 and 4240?

Answer:

Least Common Multiple of 4236 and 4240 = 4490160

Step 1: Find the prime factorization of 4236

4236 = 2 x 2 x 3 x 353

Step 2: Find the prime factorization of 4240

4240 = 2 x 2 x 2 x 2 x 5 x 53

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

LCM = 4490160 = 2 x 2 x 2 x 2 x 3 x 5 x 53 x 353

Step 4: Therefore, the least common multiple of 4236 and 4240 is 4490160.