Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7422 and 7428 the smallest integer that is 9188436 that is divisible by both numbers.
Least Common Multiple (LCM) of 7422 and 7428 is 9188436.
LCM(7422,7428) = 9188436
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 7422 and 7428. First we will calculate the prime factors of 7422 and 7428.
Prime Factorization of 7422
2 | 7422 |
3 | 3711 |
1237 | 1237 |
1 |
Prime factors of 7422 are 2, 3,1237. Prime factorization of 7422 in exponential form is:
7422 = 21×31×12371
Prime Factorization of 7428
2 | 7428 |
2 | 3714 |
3 | 1857 |
619 | 619 |
1 |
Prime factors of 7428 are 2, 3,619. Prime factorization of 7428 in exponential form is:
7428 = 22×31×6191
Now multiplying the highest exponent prime factors to calculate the LCM of 7422 and 7428.
LCM(7422,7428) = 22×31×6191×12371
LCM(7422,7428) = 9188436
Factors of 7422
List of positive integer factors of 7422 that divides 7422 without a remainder.
1, 2, 3, 6, 1237, 2474, 3711, 7422
Factors of 7428
List of positive integer factors of 7428 that divides 7428 without a remainder.
1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714, 7428
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7422 and 7428, than apply into the LCM equation.
GCF(7422,7428) = 6
LCM(7422,7428) = ( 7422 × 7428) / 6
LCM(7422,7428) = 55130616 / 6
LCM(7422,7428) = 9188436
(i) The LCM of 7428 and 7422 is associative
LCM of 7422 and 7428 = LCM of 7428 and 7422
1. What is the LCM of 7422 and 7428?
Answer: LCM of 7422 and 7428 is 9188436.
2. What are the Factors of 7422?
Answer: Factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422. There are 8 integers that are factors of 7422. The greatest factor of 7422 is 7422.
3. What are the Factors of 7428?
Answer: Factors of 7428 are 1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714, 7428. There are 12 integers that are factors of 7428. The greatest factor of 7428 is 7428.
4. How to Find the LCM of 7422 and 7428?
Answer:
Least Common Multiple of 7422 and 7428 = 9188436
Step 1: Find the prime factorization of 7422
7422 = 2 x 3 x 1237
Step 2: Find the prime factorization of 7428
7428 = 2 x 2 x 3 x 619
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9188436 = 2 x 2 x 3 x 619 x 1237
Step 4: Therefore, the least common multiple of 7422 and 7428 is 9188436.