Least Common Multiple of 4230 and 4236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4230 and 4236 the smallest integer that is 2986380 that is divisible by both numbers.

Least Common Multiple (LCM) of 4230 and 4236 is 2986380.

LCM(4230,4236) = 2986380

LCM of 4230 and 4236

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

LCM of:
and

Least Common Multiple of 4230 and 4236

LCM of 4230 and 4236 is 2986380

Least common multiple can be found by multiplying the highest exponent prime factors of 4230 and 4236. First we will calculate the prime factors of 4230 and 4236.

Prime Factorization of 4230


2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 4230 are 2, 3, 5,47. Prime factorization of 4230 in exponential form is:

4230 = 21×32×51×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4230 and 4236.

LCM(4230,4236) = 22×32×51×471×3531
LCM(4230,4236) = 2986380

Factors of 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230

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

Least Common Multiple of 4230 and 4236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4230 and 4236, than apply into the LCM equation.

GCF(4230,4236) = 6
LCM(4230,4236) = ( 4230 × 4236) / 6
LCM(4230,4236) = 17918280 / 6
LCM(4230,4236) = 2986380

Properties of LCM 4230 and 4236

(i) The LCM of 4236 and 4230 is associative

LCM of 4230 and 4236 = LCM of 4236 and 4230

Related Least Common Multiples of 4230

Related Least Common Multiples of 4236

Frequently Asked Questions on LCM of 4230 and 4236

1. What is the LCM of 4230 and 4236?

Answer: LCM of 4230 and 4236 is 2986380.

2. What are the Factors of 4230?

Answer: Factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230. There are 24 integers that are factors of 4230. The greatest factor of 4230 is 4230.

3. 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.

4. How to Find the LCM of 4230 and 4236?

Answer:

Least Common Multiple of 4230 and 4236 = 2986380

Step 1: Find the prime factorization of 4230

4230 = 2 x 3 x 3 x 5 x 47

Step 2: Find the prime factorization of 4236

4236 = 2 x 2 x 3 x 353

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

LCM = 2986380 = 2 x 2 x 3 x 3 x 5 x 47 x 353

Step 4: Therefore, the least common multiple of 4230 and 4236 is 2986380.