Least Common Multiple of 8207 and 8212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8207 and 8212 the smallest integer that is 67395884 that is divisible by both numbers.

Least Common Multiple (LCM) of 8207 and 8212 is 67395884.

LCM(8207,8212) = 67395884

LCM of 8207 and 8212

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

LCM of:
and

Least Common Multiple of 8207 and 8212

LCM of 8207 and 8212 is 67395884

Least common multiple can be found by multiplying the highest exponent prime factors of 8207 and 8212. First we will calculate the prime factors of 8207 and 8212.

Prime Factorization of 8207


29 8207
283 283
1

Prime factors of 8207 are 29,283. Prime factorization of 8207 in exponential form is:

8207 = 291×2831

Prime Factorization of 8212


2 8212
2 4106
2053 2053
1

Prime factors of 8212 are 2,2053. Prime factorization of 8212 in exponential form is:

8212 = 22×20531

Now multiplying the highest exponent prime factors to calculate the LCM of 8207 and 8212.

LCM(8207,8212) = 22×291×2831×20531
LCM(8207,8212) = 67395884

Factors of 8207

List of positive integer factors of 8207 that divides 8207 without a remainder.

1, 29, 283, 8207

Factors of 8212

List of positive integer factors of 8212 that divides 8212 without a remainder.

1, 2, 4, 2053, 4106, 8212

Least Common Multiple of 8207 and 8212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8207 and 8212, than apply into the LCM equation.

GCF(8207,8212) = 1
LCM(8207,8212) = ( 8207 × 8212) / 1
LCM(8207,8212) = 67395884 / 1
LCM(8207,8212) = 67395884

Properties of LCM 8207 and 8212

(i) The LCM of 8212 and 8207 is associative

LCM of 8207 and 8212 = LCM of 8212 and 8207

Related Least Common Multiples of 8207

Related Least Common Multiples of 8212

Frequently Asked Questions on LCM of 8207 and 8212

1. What is the LCM of 8207 and 8212?

Answer: LCM of 8207 and 8212 is 67395884.

2. What are the Factors of 8207?

Answer: Factors of 8207 are 1, 29, 283, 8207. There are 4 integers that are factors of 8207. The greatest factor of 8207 is 8207.

3. What are the Factors of 8212?

Answer: Factors of 8212 are 1, 2, 4, 2053, 4106, 8212. There are 6 integers that are factors of 8212. The greatest factor of 8212 is 8212.

4. How to Find the LCM of 8207 and 8212?

Answer:

Least Common Multiple of 8207 and 8212 = 67395884

Step 1: Find the prime factorization of 8207

8207 = 29 x 283

Step 2: Find the prime factorization of 8212

8212 = 2 x 2 x 2053

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

LCM = 67395884 = 2 x 2 x 29 x 283 x 2053

Step 4: Therefore, the least common multiple of 8207 and 8212 is 67395884.