Least Common Multiple of 7207 and 7212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7207 and 7212 the smallest integer that is 51976884 that is divisible by both numbers.

Least Common Multiple (LCM) of 7207 and 7212 is 51976884.

LCM(7207,7212) = 51976884

LCM of 7207 and 7212

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

LCM of:
and

Least Common Multiple of 7207 and 7212

LCM of 7207 and 7212 is 51976884

Least common multiple can be found by multiplying the highest exponent prime factors of 7207 and 7212. First we will calculate the prime factors of 7207 and 7212.

Prime Factorization of 7207


7207 7207
1

Prime factors of 7207 are 7207. Prime factorization of 7207 in exponential form is:

7207 = 72071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7207 and 7212.

LCM(7207,7212) = 22×31×6011×72071
LCM(7207,7212) = 51976884

Factors of 7207

List of positive integer factors of 7207 that divides 7207 without a remainder.

1, 7207

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

Least Common Multiple of 7207 and 7212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7207 and 7212, than apply into the LCM equation.

GCF(7207,7212) = 1
LCM(7207,7212) = ( 7207 × 7212) / 1
LCM(7207,7212) = 51976884 / 1
LCM(7207,7212) = 51976884

Properties of LCM 7207 and 7212

(i) The LCM of 7212 and 7207 is associative

LCM of 7207 and 7212 = LCM of 7212 and 7207

Related Least Common Multiples of 7207

Related Least Common Multiples of 7212

Frequently Asked Questions on LCM of 7207 and 7212

1. What is the LCM of 7207 and 7212?

Answer: LCM of 7207 and 7212 is 51976884.

2. What are the Factors of 7207?

Answer: Factors of 7207 are 1, 7207. There are 2 integers that are factors of 7207. The greatest factor of 7207 is 7207.

3. 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.

4. How to Find the LCM of 7207 and 7212?

Answer:

Least Common Multiple of 7207 and 7212 = 51976884

Step 1: Find the prime factorization of 7207

7207 = 7207

Step 2: Find the prime factorization of 7212

7212 = 2 x 2 x 3 x 601

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

LCM = 51976884 = 2 x 2 x 3 x 601 x 7207

Step 4: Therefore, the least common multiple of 7207 and 7212 is 51976884.