Least Common Multiple of 2157 and 2164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2157 and 2164 the smallest integer that is 4667748 that is divisible by both numbers.

Least Common Multiple (LCM) of 2157 and 2164 is 4667748.

LCM(2157,2164) = 4667748

LCM of 2157 and 2164

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

LCM of:
and

Least Common Multiple of 2157 and 2164

LCM of 2157 and 2164 is 4667748

Least common multiple can be found by multiplying the highest exponent prime factors of 2157 and 2164. First we will calculate the prime factors of 2157 and 2164.

Prime Factorization of 2157


3 2157
719 719
1

Prime factors of 2157 are 3,719. Prime factorization of 2157 in exponential form is:

2157 = 31×7191

Prime Factorization of 2164


2 2164
2 1082
541 541
1

Prime factors of 2164 are 2,541. Prime factorization of 2164 in exponential form is:

2164 = 22×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 2157 and 2164.

LCM(2157,2164) = 22×31×5411×7191
LCM(2157,2164) = 4667748

Factors of 2157

List of positive integer factors of 2157 that divides 2157 without a remainder.

1, 3, 719, 2157

Factors of 2164

List of positive integer factors of 2164 that divides 2164 without a remainder.

1, 2, 4, 541, 1082, 2164

Least Common Multiple of 2157 and 2164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2157 and 2164, than apply into the LCM equation.

GCF(2157,2164) = 1
LCM(2157,2164) = ( 2157 × 2164) / 1
LCM(2157,2164) = 4667748 / 1
LCM(2157,2164) = 4667748

Properties of LCM 2157 and 2164

(i) The LCM of 2164 and 2157 is associative

LCM of 2157 and 2164 = LCM of 2164 and 2157

Related Least Common Multiples of 2157

Related Least Common Multiples of 2164

Frequently Asked Questions on LCM of 2157 and 2164

1. What is the LCM of 2157 and 2164?

Answer: LCM of 2157 and 2164 is 4667748.

2. What are the Factors of 2157?

Answer: Factors of 2157 are 1, 3, 719, 2157. There are 4 integers that are factors of 2157. The greatest factor of 2157 is 2157.

3. What are the Factors of 2164?

Answer: Factors of 2164 are 1, 2, 4, 541, 1082, 2164. There are 6 integers that are factors of 2164. The greatest factor of 2164 is 2164.

4. How to Find the LCM of 2157 and 2164?

Answer:

Least Common Multiple of 2157 and 2164 = 4667748

Step 1: Find the prime factorization of 2157

2157 = 3 x 719

Step 2: Find the prime factorization of 2164

2164 = 2 x 2 x 541

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

LCM = 4667748 = 2 x 2 x 3 x 541 x 719

Step 4: Therefore, the least common multiple of 2157 and 2164 is 4667748.