Least Common Multiple of 7212 and 7218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7212 and 7218 the smallest integer that is 8676036 that is divisible by both numbers.

Least Common Multiple (LCM) of 7212 and 7218 is 8676036.

LCM(7212,7218) = 8676036

LCM of 7212 and 7218

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

LCM of:
and

Least Common Multiple of 7212 and 7218

LCM of 7212 and 7218 is 8676036

Least common multiple can be found by multiplying the highest exponent prime factors of 7212 and 7218. First we will calculate the prime factors of 7212 and 7218.

Prime Factorization of 7212


2 7212
2 3606
3 1803
601 601
1

Prime factors of 7212 are 2, 3,601. Prime factorization of 7212 in exponential form is:

7212 = 22×31×6011

Prime Factorization of 7218


2 7218
3 3609
3 1203
401 401
1

Prime factors of 7218 are 2, 3,401. Prime factorization of 7218 in exponential form is:

7218 = 21×32×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 7212 and 7218.

LCM(7212,7218) = 22×32×4011×6011
LCM(7212,7218) = 8676036

Factors of 7212

List of positive integer factors of 7212 that divides 7212 without a remainder.

1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212

Factors of 7218

List of positive integer factors of 7218 that divides 7218 without a remainder.

1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218

Least Common Multiple of 7212 and 7218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7212 and 7218, than apply into the LCM equation.

GCF(7212,7218) = 6
LCM(7212,7218) = ( 7212 × 7218) / 6
LCM(7212,7218) = 52056216 / 6
LCM(7212,7218) = 8676036

Properties of LCM 7212 and 7218

(i) The LCM of 7218 and 7212 is associative

LCM of 7212 and 7218 = LCM of 7218 and 7212

Related Least Common Multiples of 7212

Related Least Common Multiples of 7218

Frequently Asked Questions on LCM of 7212 and 7218

1. What is the LCM of 7212 and 7218?

Answer: LCM of 7212 and 7218 is 8676036.

2. What are the Factors of 7212?

Answer: Factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212. There are 12 integers that are factors of 7212. The greatest factor of 7212 is 7212.

3. What are the Factors of 7218?

Answer: Factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218. There are 12 integers that are factors of 7218. The greatest factor of 7218 is 7218.

4. How to Find the LCM of 7212 and 7218?

Answer:

Least Common Multiple of 7212 and 7218 = 8676036

Step 1: Find the prime factorization of 7212

7212 = 2 x 2 x 3 x 601

Step 2: Find the prime factorization of 7218

7218 = 2 x 3 x 3 x 401

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

LCM = 8676036 = 2 x 2 x 3 x 3 x 401 x 601

Step 4: Therefore, the least common multiple of 7212 and 7218 is 8676036.