Least Common Multiple of 7212 and 7220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7212 and 7220 the smallest integer that is 13017660 that is divisible by both numbers.

Least Common Multiple (LCM) of 7212 and 7220 is 13017660.

LCM(7212,7220) = 13017660

LCM of 7212 and 7220

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

LCM of:
and

Least Common Multiple of 7212 and 7220

LCM of 7212 and 7220 is 13017660

Least common multiple can be found by multiplying the highest exponent prime factors of 7212 and 7220. First we will calculate the prime factors of 7212 and 7220.

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

Prime Factorization of 7220


2 7220
2 3610
5 1805
19 361
19 19
1

Prime factors of 7220 are 2, 5,19. Prime factorization of 7220 in exponential form is:

7220 = 22×51×192

Now multiplying the highest exponent prime factors to calculate the LCM of 7212 and 7220.

LCM(7212,7220) = 22×31×51×192×6011
LCM(7212,7220) = 13017660

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

Factors of 7220

List of positive integer factors of 7220 that divides 7220 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220

Least Common Multiple of 7212 and 7220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7212 and 7220, than apply into the LCM equation.

GCF(7212,7220) = 4
LCM(7212,7220) = ( 7212 × 7220) / 4
LCM(7212,7220) = 52070640 / 4
LCM(7212,7220) = 13017660

Properties of LCM 7212 and 7220

(i) The LCM of 7220 and 7212 is associative

LCM of 7212 and 7220 = LCM of 7220 and 7212

Related Least Common Multiples of 7212

Related Least Common Multiples of 7220

Frequently Asked Questions on LCM of 7212 and 7220

1. What is the LCM of 7212 and 7220?

Answer: LCM of 7212 and 7220 is 13017660.

2. 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.

3. What are the Factors of 7220?

Answer: Factors of 7220 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220. There are 18 integers that are factors of 7220. The greatest factor of 7220 is 7220.

4. How to Find the LCM of 7212 and 7220?

Answer:

Least Common Multiple of 7212 and 7220 = 13017660

Step 1: Find the prime factorization of 7212

7212 = 2 x 2 x 3 x 601

Step 2: Find the prime factorization of 7220

7220 = 2 x 2 x 5 x 19 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 = 13017660 = 2 x 2 x 3 x 5 x 19 x 19 x 601

Step 4: Therefore, the least common multiple of 7212 and 7220 is 13017660.