Least Common Multiple of 3164 and 3170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3164 and 3170 the smallest integer that is 5014940 that is divisible by both numbers.

Least Common Multiple (LCM) of 3164 and 3170 is 5014940.

LCM(3164,3170) = 5014940

LCM of 3164 and 3170

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

LCM of:
and

Least Common Multiple of 3164 and 3170

LCM of 3164 and 3170 is 5014940

Least common multiple can be found by multiplying the highest exponent prime factors of 3164 and 3170. First we will calculate the prime factors of 3164 and 3170.

Prime Factorization of 3164


2 3164
2 1582
7 791
113 113
1

Prime factors of 3164 are 2, 7,113. Prime factorization of 3164 in exponential form is:

3164 = 22×71×1131

Prime Factorization of 3170


2 3170
5 1585
317 317
1

Prime factors of 3170 are 2, 5,317. Prime factorization of 3170 in exponential form is:

3170 = 21×51×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 3164 and 3170.

LCM(3164,3170) = 22×51×71×1131×3171
LCM(3164,3170) = 5014940

Factors of 3164

List of positive integer factors of 3164 that divides 3164 without a remainder.

1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164

Factors of 3170

List of positive integer factors of 3170 that divides 3170 without a remainder.

1, 2, 5, 10, 317, 634, 1585, 3170

Least Common Multiple of 3164 and 3170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3164 and 3170, than apply into the LCM equation.

GCF(3164,3170) = 2
LCM(3164,3170) = ( 3164 × 3170) / 2
LCM(3164,3170) = 10029880 / 2
LCM(3164,3170) = 5014940

Properties of LCM 3164 and 3170

(i) The LCM of 3170 and 3164 is associative

LCM of 3164 and 3170 = LCM of 3170 and 3164

Related Least Common Multiples of 3164

Related Least Common Multiples of 3170

Frequently Asked Questions on LCM of 3164 and 3170

1. What is the LCM of 3164 and 3170?

Answer: LCM of 3164 and 3170 is 5014940.

2. What are the Factors of 3164?

Answer: Factors of 3164 are 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164. There are 12 integers that are factors of 3164. The greatest factor of 3164 is 3164.

3. What are the Factors of 3170?

Answer: Factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170. There are 8 integers that are factors of 3170. The greatest factor of 3170 is 3170.

4. How to Find the LCM of 3164 and 3170?

Answer:

Least Common Multiple of 3164 and 3170 = 5014940

Step 1: Find the prime factorization of 3164

3164 = 2 x 2 x 7 x 113

Step 2: Find the prime factorization of 3170

3170 = 2 x 5 x 317

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

LCM = 5014940 = 2 x 2 x 5 x 7 x 113 x 317

Step 4: Therefore, the least common multiple of 3164 and 3170 is 5014940.