Least Common Multiple of 6157 and 6164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6157 and 6164 the smallest integer that is 37951748 that is divisible by both numbers.

Least Common Multiple (LCM) of 6157 and 6164 is 37951748.

LCM(6157,6164) = 37951748

LCM of 6157 and 6164

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

LCM of:
and

Least Common Multiple of 6157 and 6164

LCM of 6157 and 6164 is 37951748

Least common multiple can be found by multiplying the highest exponent prime factors of 6157 and 6164. First we will calculate the prime factors of 6157 and 6164.

Prime Factorization of 6157


47 6157
131 131
1

Prime factors of 6157 are 47,131. Prime factorization of 6157 in exponential form is:

6157 = 471×1311

Prime Factorization of 6164


2 6164
2 3082
23 1541
67 67
1

Prime factors of 6164 are 2, 23,67. Prime factorization of 6164 in exponential form is:

6164 = 22×231×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6157 and 6164.

LCM(6157,6164) = 22×231×471×671×1311
LCM(6157,6164) = 37951748

Factors of 6157

List of positive integer factors of 6157 that divides 6157 without a remainder.

1, 47, 131, 6157

Factors of 6164

List of positive integer factors of 6164 that divides 6164 without a remainder.

1, 2, 4, 23, 46, 67, 92, 134, 268, 1541, 3082, 6164

Least Common Multiple of 6157 and 6164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6157 and 6164, than apply into the LCM equation.

GCF(6157,6164) = 1
LCM(6157,6164) = ( 6157 × 6164) / 1
LCM(6157,6164) = 37951748 / 1
LCM(6157,6164) = 37951748

Properties of LCM 6157 and 6164

(i) The LCM of 6164 and 6157 is associative

LCM of 6157 and 6164 = LCM of 6164 and 6157

Related Least Common Multiples of 6157

Related Least Common Multiples of 6164

Frequently Asked Questions on LCM of 6157 and 6164

1. What is the LCM of 6157 and 6164?

Answer: LCM of 6157 and 6164 is 37951748.

2. What are the Factors of 6157?

Answer: Factors of 6157 are 1, 47, 131, 6157. There are 4 integers that are factors of 6157. The greatest factor of 6157 is 6157.

3. What are the Factors of 6164?

Answer: Factors of 6164 are 1, 2, 4, 23, 46, 67, 92, 134, 268, 1541, 3082, 6164. There are 12 integers that are factors of 6164. The greatest factor of 6164 is 6164.

4. How to Find the LCM of 6157 and 6164?

Answer:

Least Common Multiple of 6157 and 6164 = 37951748

Step 1: Find the prime factorization of 6157

6157 = 47 x 131

Step 2: Find the prime factorization of 6164

6164 = 2 x 2 x 23 x 67

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

LCM = 37951748 = 2 x 2 x 23 x 47 x 67 x 131

Step 4: Therefore, the least common multiple of 6157 and 6164 is 37951748.