Least Common Multiple of 7272 and 7278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7272 and 7278 the smallest integer that is 8820936 that is divisible by both numbers.

Least Common Multiple (LCM) of 7272 and 7278 is 8820936.

LCM(7272,7278) = 8820936

LCM of 7272 and 7278

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

LCM of:
and

Least Common Multiple of 7272 and 7278

LCM of 7272 and 7278 is 8820936

Least common multiple can be found by multiplying the highest exponent prime factors of 7272 and 7278. First we will calculate the prime factors of 7272 and 7278.

Prime Factorization of 7272


2 7272
2 3636
2 1818
3 909
3 303
101 101
1

Prime factors of 7272 are 2, 3,101. Prime factorization of 7272 in exponential form is:

7272 = 23×32×1011

Prime Factorization of 7278


2 7278
3 3639
1213 1213
1

Prime factors of 7278 are 2, 3,1213. Prime factorization of 7278 in exponential form is:

7278 = 21×31×12131

Now multiplying the highest exponent prime factors to calculate the LCM of 7272 and 7278.

LCM(7272,7278) = 23×32×1011×12131
LCM(7272,7278) = 8820936

Factors of 7272

List of positive integer factors of 7272 that divides 7272 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272

Factors of 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1, 2, 3, 6, 1213, 2426, 3639, 7278

Least Common Multiple of 7272 and 7278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7272 and 7278, than apply into the LCM equation.

GCF(7272,7278) = 6
LCM(7272,7278) = ( 7272 × 7278) / 6
LCM(7272,7278) = 52925616 / 6
LCM(7272,7278) = 8820936

Properties of LCM 7272 and 7278

(i) The LCM of 7278 and 7272 is associative

LCM of 7272 and 7278 = LCM of 7278 and 7272

Related Least Common Multiples of 7272

Related Least Common Multiples of 7278

Frequently Asked Questions on LCM of 7272 and 7278

1. What is the LCM of 7272 and 7278?

Answer: LCM of 7272 and 7278 is 8820936.

2. What are the Factors of 7272?

Answer: Factors of 7272 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272. There are 24 integers that are factors of 7272. The greatest factor of 7272 is 7272.

3. What are the Factors of 7278?

Answer: Factors of 7278 are 1, 2, 3, 6, 1213, 2426, 3639, 7278. There are 8 integers that are factors of 7278. The greatest factor of 7278 is 7278.

4. How to Find the LCM of 7272 and 7278?

Answer:

Least Common Multiple of 7272 and 7278 = 8820936

Step 1: Find the prime factorization of 7272

7272 = 2 x 2 x 2 x 3 x 3 x 101

Step 2: Find the prime factorization of 7278

7278 = 2 x 3 x 1213

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

LCM = 8820936 = 2 x 2 x 2 x 3 x 3 x 101 x 1213

Step 4: Therefore, the least common multiple of 7272 and 7278 is 8820936.