Least Common Multiple of 2207 and 2212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2207 and 2212 the smallest integer that is 4881884 that is divisible by both numbers.

Least Common Multiple (LCM) of 2207 and 2212 is 4881884.

LCM(2207,2212) = 4881884

LCM of 2207 and 2212

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

LCM of:
and

Least Common Multiple of 2207 and 2212

LCM of 2207 and 2212 is 4881884

Least common multiple can be found by multiplying the highest exponent prime factors of 2207 and 2212. First we will calculate the prime factors of 2207 and 2212.

Prime Factorization of 2207


2207 2207
1

Prime factors of 2207 are 2207. Prime factorization of 2207 in exponential form is:

2207 = 22071

Prime Factorization of 2212


2 2212
2 1106
7 553
79 79
1

Prime factors of 2212 are 2, 7,79. Prime factorization of 2212 in exponential form is:

2212 = 22×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 2207 and 2212.

LCM(2207,2212) = 22×71×791×22071
LCM(2207,2212) = 4881884

Factors of 2207

List of positive integer factors of 2207 that divides 2207 without a remainder.

1, 2207

Factors of 2212

List of positive integer factors of 2212 that divides 2212 without a remainder.

1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106, 2212

Least Common Multiple of 2207 and 2212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2207 and 2212, than apply into the LCM equation.

GCF(2207,2212) = 1
LCM(2207,2212) = ( 2207 × 2212) / 1
LCM(2207,2212) = 4881884 / 1
LCM(2207,2212) = 4881884

Properties of LCM 2207 and 2212

(i) The LCM of 2212 and 2207 is associative

LCM of 2207 and 2212 = LCM of 2212 and 2207

Related Least Common Multiples of 2207

Related Least Common Multiples of 2212

Frequently Asked Questions on LCM of 2207 and 2212

1. What is the LCM of 2207 and 2212?

Answer: LCM of 2207 and 2212 is 4881884.

2. What are the Factors of 2207?

Answer: Factors of 2207 are 1, 2207. There are 2 integers that are factors of 2207. The greatest factor of 2207 is 2207.

3. What are the Factors of 2212?

Answer: Factors of 2212 are 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106, 2212. There are 12 integers that are factors of 2212. The greatest factor of 2212 is 2212.

4. How to Find the LCM of 2207 and 2212?

Answer:

Least Common Multiple of 2207 and 2212 = 4881884

Step 1: Find the prime factorization of 2207

2207 = 2207

Step 2: Find the prime factorization of 2212

2212 = 2 x 2 x 7 x 79

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

LCM = 4881884 = 2 x 2 x 7 x 79 x 2207

Step 4: Therefore, the least common multiple of 2207 and 2212 is 4881884.