Least Common Multiple of 1212 and 1216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1212 and 1216 the smallest integer that is 368448 that is divisible by both numbers.

Least Common Multiple (LCM) of 1212 and 1216 is 368448.

LCM(1212,1216) = 368448

LCM of 1212 and 1216

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

LCM of:
and

Least Common Multiple of 1212 and 1216

LCM of 1212 and 1216 is 368448

Least common multiple can be found by multiplying the highest exponent prime factors of 1212 and 1216. First we will calculate the prime factors of 1212 and 1216.

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

Prime Factorization of 1216


2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 1216 are 2,19. Prime factorization of 1216 in exponential form is:

1216 = 26×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1212 and 1216.

LCM(1212,1216) = 26×31×191×1011
LCM(1212,1216) = 368448

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

Factors of 1216

List of positive integer factors of 1216 that divides 1216 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216

Least Common Multiple of 1212 and 1216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1212 and 1216, than apply into the LCM equation.

GCF(1212,1216) = 4
LCM(1212,1216) = ( 1212 × 1216) / 4
LCM(1212,1216) = 1473792 / 4
LCM(1212,1216) = 368448

Properties of LCM 1212 and 1216

(i) The LCM of 1216 and 1212 is associative

LCM of 1212 and 1216 = LCM of 1216 and 1212

Related Least Common Multiples of 1212

Related Least Common Multiples of 1216

Frequently Asked Questions on LCM of 1212 and 1216

1. What is the LCM of 1212 and 1216?

Answer: LCM of 1212 and 1216 is 368448.

2. 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.

3. What are the Factors of 1216?

Answer: Factors of 1216 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216. There are 14 integers that are factors of 1216. The greatest factor of 1216 is 1216.

4. How to Find the LCM of 1212 and 1216?

Answer:

Least Common Multiple of 1212 and 1216 = 368448

Step 1: Find the prime factorization of 1212

1212 = 2 x 2 x 3 x 101

Step 2: Find the prime factorization of 1216

1216 = 2 x 2 x 2 x 2 x 2 x 2 x 19

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

LCM = 368448 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 101

Step 4: Therefore, the least common multiple of 1212 and 1216 is 368448.