Least Common Multiple of 157 and 161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 157 and 161 the smallest integer that is 25277 that is divisible by both numbers.

Least Common Multiple (LCM) of 157 and 161 is 25277.

LCM(157,161) = 25277

LCM of 157 and 161

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

LCM of:
and

Least Common Multiple of 157 and 161

LCM of 157 and 161 is 25277

Least common multiple can be found by multiplying the highest exponent prime factors of 157 and 161. First we will calculate the prime factors of 157 and 161.

Prime Factorization of 157


157 157
1

Prime factors of 157 are 157. Prime factorization of 157 in exponential form is:

157 = 1571

Prime Factorization of 161


7 161
23 23
1

Prime factors of 161 are 7,23. Prime factorization of 161 in exponential form is:

161 = 71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 157 and 161.

LCM(157,161) = 71×231×1571
LCM(157,161) = 25277

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1, 157

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Least Common Multiple of 157 and 161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 157 and 161, than apply into the LCM equation.

GCF(157,161) = 1
LCM(157,161) = ( 157 × 161) / 1
LCM(157,161) = 25277 / 1
LCM(157,161) = 25277

Properties of LCM 157 and 161

(i) The LCM of 161 and 157 is associative

LCM of 157 and 161 = LCM of 161 and 157

Related Least Common Multiples of 157

Related Least Common Multiples of 161

Frequently Asked Questions on LCM of 157 and 161

1. What is the LCM of 157 and 161?

Answer: LCM of 157 and 161 is 25277.

2. What are the Factors of 157?

Answer: Factors of 157 are 1, 157. There are 2 integers that are factors of 157. The greatest factor of 157 is 157.

3. What are the Factors of 161?

Answer: Factors of 161 are 1, 7, 23, 161. There are 4 integers that are factors of 161. The greatest factor of 161 is 161.

4. How to Find the LCM of 157 and 161?

Answer:

Least Common Multiple of 157 and 161 = 25277

Step 1: Find the prime factorization of 157

157 = 157

Step 2: Find the prime factorization of 161

161 = 7 x 23

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

LCM = 25277 = 7 x 23 x 157

Step 4: Therefore, the least common multiple of 157 and 161 is 25277.