Least Common Multiple of 39234 and 39242

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

• Least Common Multiple of 39234 and 39242 by Prime method
• Least Common Multiple of 39234 and 39242 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39234 and 39242. First we will calculate the prime factors of 39234 and 39242.

Prime Factorization of 39234

Prime factors of 39234 are 2, 3, 13,503. Prime factorization of 39234 in exponential form is:

39234 = 2¹×3¹×13¹×503¹

Prime Factorization of 39242

Prime factors of 39242 are 2, 7,2803. Prime factorization of 39242 in exponential form is:

39242 = 2¹×7¹×2803¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39234 and 39242.

LCM(39234,39242) = 2¹×3¹×7¹×13¹×503¹×2803¹
LCM(39234,39242) = 769810314

Factors of 39234

List of positive integer factors of 39234 that divides 39234 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 503, 1006, 1509, 3018, 6539, 13078, 19617, 39234

Factors of 39242

List of positive integer factors of 39242 that divides 39242 without a remainder.

1, 2, 7, 14, 2803, 5606, 19621, 39242

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39234 and 39242, than apply into the LCM equation.

GCF(39234,39242) = 2
LCM(39234,39242) = ( 39234 × 39242) / 2
LCM(39234,39242) = 1539620628 / 2
LCM(39234,39242) = 769810314

(i) The LCM of 39242 and 39234 is associative

LCM of 39234 and 39242 = LCM of 39242 and 39234

1. What is the LCM of 39234 and 39242?

Answer: LCM of 39234 and 39242 is 769810314.

2. What are the Factors of 39234?

Answer: Factors of 39234 are 1, 2, 3, 6, 13, 26, 39, 78, 503, 1006, 1509, 3018, 6539, 13078, 19617, 39234. There are 16 integers that are factors of 39234. The greatest factor of 39234 is 39234.

3. What are the Factors of 39242?

Answer: Factors of 39242 are 1, 2, 7, 14, 2803, 5606, 19621, 39242. There are 8 integers that are factors of 39242. The greatest factor of 39242 is 39242.

4. How to Find the LCM of 39234 and 39242?

Answer:

Least Common Multiple of 39234 and 39242 = 769810314

Step 1: Find the prime factorization of 39234

39234 = 2 x 3 x 13 x 503

Step 2: Find the prime factorization of 39242

39242 = 2 x 7 x 2803

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

LCM = 769810314 = 2 x 3 x 7 x 13 x 503 x 2803

Step 4: Therefore, the least common multiple of 39234 and 39242 is 769810314.