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 7279 the smallest integer that is 52932888 that is divisible by both numbers.
Least Common Multiple (LCM) of 7272 and 7279 is 52932888.
LCM(7272,7279) = 52932888
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7272 and 7279. First we will calculate the prime factors of 7272 and 7279.
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 7279
29 | 7279 |
251 | 251 |
1 |
Prime factors of 7279 are 29,251. Prime factorization of 7279 in exponential form is:
7279 = 291×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 7272 and 7279.
LCM(7272,7279) = 23×32×291×1011×2511
LCM(7272,7279) = 52932888
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 7279
List of positive integer factors of 7279 that divides 7279 without a remainder.
1, 29, 251, 7279
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7272 and 7279, than apply into the LCM equation.
GCF(7272,7279) = 1
LCM(7272,7279) = ( 7272 × 7279) / 1
LCM(7272,7279) = 52932888 / 1
LCM(7272,7279) = 52932888
(i) The LCM of 7279 and 7272 is associative
LCM of 7272 and 7279 = LCM of 7279 and 7272
1. What is the LCM of 7272 and 7279?
Answer: LCM of 7272 and 7279 is 52932888.
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 7279?
Answer: Factors of 7279 are 1, 29, 251, 7279. There are 4 integers that are factors of 7279. The greatest factor of 7279 is 7279.
4. How to Find the LCM of 7272 and 7279?
Answer:
Least Common Multiple of 7272 and 7279 = 52932888
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 7279
7279 = 29 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52932888 = 2 x 2 x 2 x 3 x 3 x 29 x 101 x 251
Step 4: Therefore, the least common multiple of 7272 and 7279 is 52932888.