Least Common Multiple of 40157 and 40161

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

• Least Common Multiple of 40157 and 40161 by Prime method
• Least Common Multiple of 40157 and 40161 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40157 and 40161. First we will calculate the prime factors of 40157 and 40161.

Prime Factorization of 40157

Prime factors of 40157 are 13,3089. Prime factorization of 40157 in exponential form is:

40157 = 13¹×3089¹

Prime Factorization of 40161

Prime factors of 40161 are 3, 11,1217. Prime factorization of 40161 in exponential form is:

40161 = 3¹×11¹×1217¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40157 and 40161.

LCM(40157,40161) = 3¹×11¹×13¹×1217¹×3089¹
LCM(40157,40161) = 1612745277

Factors of 40157

List of positive integer factors of 40157 that divides 40157 without a remainder.

1, 13, 3089, 40157

Factors of 40161

List of positive integer factors of 40161 that divides 40161 without a remainder.

1, 3, 11, 33, 1217, 3651, 13387, 40161

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40157 and 40161, than apply into the LCM equation.

GCF(40157,40161) = 1
LCM(40157,40161) = ( 40157 × 40161) / 1
LCM(40157,40161) = 1612745277 / 1
LCM(40157,40161) = 1612745277

(i) The LCM of 40161 and 40157 is associative

LCM of 40157 and 40161 = LCM of 40161 and 40157

1. What is the LCM of 40157 and 40161?

Answer: LCM of 40157 and 40161 is 1612745277.

2. What are the Factors of 40157?

Answer: Factors of 40157 are 1, 13, 3089, 40157. There are 4 integers that are factors of 40157. The greatest factor of 40157 is 40157.

3. What are the Factors of 40161?

Answer: Factors of 40161 are 1, 3, 11, 33, 1217, 3651, 13387, 40161. There are 8 integers that are factors of 40161. The greatest factor of 40161 is 40161.

4. How to Find the LCM of 40157 and 40161?

Answer:

Least Common Multiple of 40157 and 40161 = 1612745277

Step 1: Find the prime factorization of 40157

40157 = 13 x 3089

Step 2: Find the prime factorization of 40161

40161 = 3 x 11 x 1217

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

LCM = 1612745277 = 3 x 11 x 13 x 1217 x 3089

Step 4: Therefore, the least common multiple of 40157 and 40161 is 1612745277.