Least Common Multiple of 39228 and 39236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39228 and 39236 the smallest integer that is 384787452 that is divisible by both numbers.

Least Common Multiple (LCM) of 39228 and 39236 is 384787452.

LCM(39228,39236) = 384787452

LCM of 39228 and 39236

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

LCM of:
and

Least Common Multiple of 39228 and 39236

LCM of 39228 and 39236 is 384787452

Least common multiple can be found by multiplying the highest exponent prime factors of 39228 and 39236. First we will calculate the prime factors of 39228 and 39236.

Prime Factorization of 39228


2 39228
2 19614
3 9807
7 3269
467 467
1

Prime factors of 39228 are 2, 3, 7,467. Prime factorization of 39228 in exponential form is:

39228 = 22×31×71×4671

Prime Factorization of 39236


2 39236
2 19618
17 9809
577 577
1

Prime factors of 39236 are 2, 17,577. Prime factorization of 39236 in exponential form is:

39236 = 22×171×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 39228 and 39236.

LCM(39228,39236) = 22×31×71×171×4671×5771
LCM(39228,39236) = 384787452

Factors of 39228

List of positive integer factors of 39228 that divides 39228 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 467, 934, 1401, 1868, 2802, 3269, 5604, 6538, 9807, 13076, 19614, 39228

Factors of 39236

List of positive integer factors of 39236 that divides 39236 without a remainder.

1, 2, 4, 17, 34, 68, 577, 1154, 2308, 9809, 19618, 39236

Least Common Multiple of 39228 and 39236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39228 and 39236, than apply into the LCM equation.

GCF(39228,39236) = 4
LCM(39228,39236) = ( 39228 × 39236) / 4
LCM(39228,39236) = 1539149808 / 4
LCM(39228,39236) = 384787452

Properties of LCM 39228 and 39236

(i) The LCM of 39236 and 39228 is associative

LCM of 39228 and 39236 = LCM of 39236 and 39228

Related Least Common Multiples of 39228

Related Least Common Multiples of 39236

Frequently Asked Questions on LCM of 39228 and 39236

1. What is the LCM of 39228 and 39236?

Answer: LCM of 39228 and 39236 is 384787452.

2. What are the Factors of 39228?

Answer: Factors of 39228 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 467, 934, 1401, 1868, 2802, 3269, 5604, 6538, 9807, 13076, 19614, 39228. There are 24 integers that are factors of 39228. The greatest factor of 39228 is 39228.

3. What are the Factors of 39236?

Answer: Factors of 39236 are 1, 2, 4, 17, 34, 68, 577, 1154, 2308, 9809, 19618, 39236. There are 12 integers that are factors of 39236. The greatest factor of 39236 is 39236.

4. How to Find the LCM of 39228 and 39236?

Answer:

Least Common Multiple of 39228 and 39236 = 384787452

Step 1: Find the prime factorization of 39228

39228 = 2 x 2 x 3 x 7 x 467

Step 2: Find the prime factorization of 39236

39236 = 2 x 2 x 17 x 577

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

LCM = 384787452 = 2 x 2 x 3 x 7 x 17 x 467 x 577

Step 4: Therefore, the least common multiple of 39228 and 39236 is 384787452.