Least Common Multiple of 34152 and 34157

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

• Least Common Multiple of 34152 and 34157 by Prime method
• Least Common Multiple of 34152 and 34157 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34152 and 34157. First we will calculate the prime factors of 34152 and 34157.

Prime Factorization of 34152

Prime factors of 34152 are 2, 3,1423. Prime factorization of 34152 in exponential form is:

34152 = 2³×3¹×1423¹

Prime Factorization of 34157

Prime factors of 34157 are 34157. Prime factorization of 34157 in exponential form is:

34157 = 34157¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34152 and 34157.

LCM(34152,34157) = 2³×3¹×1423¹×34157¹
LCM(34152,34157) = 1166529864

Factors of 34152

List of positive integer factors of 34152 that divides 34152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1423, 2846, 4269, 5692, 8538, 11384, 17076, 34152

Factors of 34157

List of positive integer factors of 34157 that divides 34157 without a remainder.

1, 34157

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34152 and 34157, than apply into the LCM equation.

GCF(34152,34157) = 1
LCM(34152,34157) = ( 34152 × 34157) / 1
LCM(34152,34157) = 1166529864 / 1
LCM(34152,34157) = 1166529864

(i) The LCM of 34157 and 34152 is associative

LCM of 34152 and 34157 = LCM of 34157 and 34152

1. What is the LCM of 34152 and 34157?

Answer: LCM of 34152 and 34157 is 1166529864.

2. What are the Factors of 34152?

Answer: Factors of 34152 are 1, 2, 3, 4, 6, 8, 12, 24, 1423, 2846, 4269, 5692, 8538, 11384, 17076, 34152. There are 16 integers that are factors of 34152. The greatest factor of 34152 is 34152.

3. What are the Factors of 34157?

Answer: Factors of 34157 are 1, 34157. There are 2 integers that are factors of 34157. The greatest factor of 34157 is 34157.

4. How to Find the LCM of 34152 and 34157?

Answer:

Least Common Multiple of 34152 and 34157 = 1166529864

Step 1: Find the prime factorization of 34152

34152 = 2 x 2 x 2 x 3 x 1423

Step 2: Find the prime factorization of 34157

34157 = 34157

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

LCM = 1166529864 = 2 x 2 x 2 x 3 x 1423 x 34157

Step 4: Therefore, the least common multiple of 34152 and 34157 is 1166529864.