Least Common Multiple of 1207 and 1212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1207 and 1212 the smallest integer that is 1462884 that is divisible by both numbers.

Least Common Multiple (LCM) of 1207 and 1212 is 1462884.

LCM(1207,1212) = 1462884

LCM of 1207 and 1212

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

LCM of:
and

Least Common Multiple of 1207 and 1212

LCM of 1207 and 1212 is 1462884

Least common multiple can be found by multiplying the highest exponent prime factors of 1207 and 1212. First we will calculate the prime factors of 1207 and 1212.

Prime Factorization of 1207


17 1207
71 71
1

Prime factors of 1207 are 17,71. Prime factorization of 1207 in exponential form is:

1207 = 171×711

Prime Factorization of 1212


2 1212
2 606
3 303
101 101
1

Prime factors of 1212 are 2, 3,101. Prime factorization of 1212 in exponential form is:

1212 = 22×31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1207 and 1212.

LCM(1207,1212) = 22×31×171×711×1011
LCM(1207,1212) = 1462884

Factors of 1207

List of positive integer factors of 1207 that divides 1207 without a remainder.

1, 17, 71, 1207

Factors of 1212

List of positive integer factors of 1212 that divides 1212 without a remainder.

1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212

Least Common Multiple of 1207 and 1212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1207 and 1212, than apply into the LCM equation.

GCF(1207,1212) = 1
LCM(1207,1212) = ( 1207 × 1212) / 1
LCM(1207,1212) = 1462884 / 1
LCM(1207,1212) = 1462884

Properties of LCM 1207 and 1212

(i) The LCM of 1212 and 1207 is associative

LCM of 1207 and 1212 = LCM of 1212 and 1207

Related Least Common Multiples of 1207

Related Least Common Multiples of 1212

Frequently Asked Questions on LCM of 1207 and 1212

1. What is the LCM of 1207 and 1212?

Answer: LCM of 1207 and 1212 is 1462884.

2. What are the Factors of 1207?

Answer: Factors of 1207 are 1, 17, 71, 1207. There are 4 integers that are factors of 1207. The greatest factor of 1207 is 1207.

3. What are the Factors of 1212?

Answer: Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212. There are 12 integers that are factors of 1212. The greatest factor of 1212 is 1212.

4. How to Find the LCM of 1207 and 1212?

Answer:

Least Common Multiple of 1207 and 1212 = 1462884

Step 1: Find the prime factorization of 1207

1207 = 17 x 71

Step 2: Find the prime factorization of 1212

1212 = 2 x 2 x 3 x 101

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

LCM = 1462884 = 2 x 2 x 3 x 17 x 71 x 101

Step 4: Therefore, the least common multiple of 1207 and 1212 is 1462884.