Least Common Multiple of 4236 and 4242

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 4242 the smallest integer that is 2994852 that is divisible by both numbers.

Least Common Multiple (LCM) of 4236 and 4242 is 2994852.

LCM(4236,4242) = 2994852

LCM of 4236 and 4242

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

LCM of:
and

Least Common Multiple of 4236 and 4242

LCM of 4236 and 4242 is 2994852

Least common multiple can be found by multiplying the highest exponent prime factors of 4236 and 4242. First we will calculate the prime factors of 4236 and 4242.

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 4242


2 4242
3 2121
7 707
101 101
1

Prime factors of 4242 are 2, 3, 7,101. Prime factorization of 4242 in exponential form is:

4242 = 21×31×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4236 and 4242.

LCM(4236,4242) = 22×31×71×1011×3531
LCM(4236,4242) = 2994852

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 4242

List of positive integer factors of 4242 that divides 4242 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242

Least Common Multiple of 4236 and 4242 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 4242, than apply into the LCM equation.

GCF(4236,4242) = 6
LCM(4236,4242) = ( 4236 × 4242) / 6
LCM(4236,4242) = 17969112 / 6
LCM(4236,4242) = 2994852

Properties of LCM 4236 and 4242

(i) The LCM of 4242 and 4236 is associative

LCM of 4236 and 4242 = LCM of 4242 and 4236

Related Least Common Multiples of 4236

Related Least Common Multiples of 4242

Frequently Asked Questions on LCM of 4236 and 4242

1. What is the LCM of 4236 and 4242?

Answer: LCM of 4236 and 4242 is 2994852.

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 4242?

Answer: Factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242. There are 16 integers that are factors of 4242. The greatest factor of 4242 is 4242.

4. How to Find the LCM of 4236 and 4242?

Answer:

Least Common Multiple of 4236 and 4242 = 2994852

Step 1: Find the prime factorization of 4236

4236 = 2 x 2 x 3 x 353

Step 2: Find the prime factorization of 4242

4242 = 2 x 3 x 7 x 101

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

LCM = 2994852 = 2 x 2 x 3 x 7 x 101 x 353

Step 4: Therefore, the least common multiple of 4236 and 4242 is 2994852.