Least Common Multiple of 35171 and 35178

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

• Least Common Multiple of 35171 and 35178 by Prime method
• Least Common Multiple of 35171 and 35178 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35171 and 35178. First we will calculate the prime factors of 35171 and 35178.

Prime Factorization of 35171

Prime factors of 35171 are 35171. Prime factorization of 35171 in exponential form is:

35171 = 35171¹

Prime Factorization of 35178

Prime factors of 35178 are 2, 3, 11, 13,41. Prime factorization of 35178 in exponential form is:

35178 = 2¹×3¹×11¹×13¹×41¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35171 and 35178.

LCM(35171,35178) = 2¹×3¹×11¹×13¹×41¹×35171¹
LCM(35171,35178) = 1237245438

Factors of 35171

List of positive integer factors of 35171 that divides 35171 without a remainder.

1, 35171

Factors of 35178

List of positive integer factors of 35178 that divides 35178 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 41, 66, 78, 82, 123, 143, 246, 286, 429, 451, 533, 858, 902, 1066, 1353, 1599, 2706, 3198, 5863, 11726, 17589, 35178

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35171 and 35178, than apply into the LCM equation.

GCF(35171,35178) = 1
LCM(35171,35178) = ( 35171 × 35178) / 1
LCM(35171,35178) = 1237245438 / 1
LCM(35171,35178) = 1237245438

(i) The LCM of 35178 and 35171 is associative

LCM of 35171 and 35178 = LCM of 35178 and 35171

1. What is the LCM of 35171 and 35178?

Answer: LCM of 35171 and 35178 is 1237245438.

2. What are the Factors of 35171?

Answer: Factors of 35171 are 1, 35171. There are 2 integers that are factors of 35171. The greatest factor of 35171 is 35171.

3. What are the Factors of 35178?

Answer: Factors of 35178 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 41, 66, 78, 82, 123, 143, 246, 286, 429, 451, 533, 858, 902, 1066, 1353, 1599, 2706, 3198, 5863, 11726, 17589, 35178. There are 32 integers that are factors of 35178. The greatest factor of 35178 is 35178.

4. How to Find the LCM of 35171 and 35178?

Answer:

Least Common Multiple of 35171 and 35178 = 1237245438

Step 1: Find the prime factorization of 35171

35171 = 35171

Step 2: Find the prime factorization of 35178

35178 = 2 x 3 x 11 x 13 x 41

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

LCM = 1237245438 = 2 x 3 x 11 x 13 x 41 x 35171

Step 4: Therefore, the least common multiple of 35171 and 35178 is 1237245438.