Least Common Multiple of 3214 and 3222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3214 and 3222 the smallest integer that is 5177754 that is divisible by both numbers.

Least Common Multiple (LCM) of 3214 and 3222 is 5177754.

LCM(3214,3222) = 5177754

LCM of 3214 and 3222

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

LCM of:
and

Least Common Multiple of 3214 and 3222

LCM of 3214 and 3222 is 5177754

Least common multiple can be found by multiplying the highest exponent prime factors of 3214 and 3222. First we will calculate the prime factors of 3214 and 3222.

Prime Factorization of 3214


2 3214
1607 1607
1

Prime factors of 3214 are 2,1607. Prime factorization of 3214 in exponential form is:

3214 = 21×16071

Prime Factorization of 3222


2 3222
3 1611
3 537
179 179
1

Prime factors of 3222 are 2, 3,179. Prime factorization of 3222 in exponential form is:

3222 = 21×32×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 3214 and 3222.

LCM(3214,3222) = 21×32×1791×16071
LCM(3214,3222) = 5177754

Factors of 3214

List of positive integer factors of 3214 that divides 3214 without a remainder.

1, 2, 1607, 3214

Factors of 3222

List of positive integer factors of 3222 that divides 3222 without a remainder.

1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222

Least Common Multiple of 3214 and 3222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3214 and 3222, than apply into the LCM equation.

GCF(3214,3222) = 2
LCM(3214,3222) = ( 3214 × 3222) / 2
LCM(3214,3222) = 10355508 / 2
LCM(3214,3222) = 5177754

Properties of LCM 3214 and 3222

(i) The LCM of 3222 and 3214 is associative

LCM of 3214 and 3222 = LCM of 3222 and 3214

Related Least Common Multiples of 3214

Related Least Common Multiples of 3222

Frequently Asked Questions on LCM of 3214 and 3222

1. What is the LCM of 3214 and 3222?

Answer: LCM of 3214 and 3222 is 5177754.

2. What are the Factors of 3214?

Answer: Factors of 3214 are 1, 2, 1607, 3214. There are 4 integers that are factors of 3214. The greatest factor of 3214 is 3214.

3. What are the Factors of 3222?

Answer: Factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222. There are 12 integers that are factors of 3222. The greatest factor of 3222 is 3222.

4. How to Find the LCM of 3214 and 3222?

Answer:

Least Common Multiple of 3214 and 3222 = 5177754

Step 1: Find the prime factorization of 3214

3214 = 2 x 1607

Step 2: Find the prime factorization of 3222

3222 = 2 x 3 x 3 x 179

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

LCM = 5177754 = 2 x 3 x 3 x 179 x 1607

Step 4: Therefore, the least common multiple of 3214 and 3222 is 5177754.