Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 472 and 474 the smallest integer that is 111864 that is divisible by both numbers.
Least Common Multiple (LCM) of 472 and 474 is 111864.
LCM(472,474) = 111864
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 472 and 474. First we will calculate the prime factors of 472 and 474.
Prime Factorization of 472
2 | 472 |
2 | 236 |
2 | 118 |
59 | 59 |
1 |
Prime factors of 472 are 2,59. Prime factorization of 472 in exponential form is:
472 = 23×591
Prime Factorization of 474
2 | 474 |
3 | 237 |
79 | 79 |
1 |
Prime factors of 474 are 2, 3,79. Prime factorization of 474 in exponential form is:
474 = 21×31×791
Now multiplying the highest exponent prime factors to calculate the LCM of 472 and 474.
LCM(472,474) = 23×31×591×791
LCM(472,474) = 111864
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 472 and 474, than apply into the LCM equation.
GCF(472,474) = 2
LCM(472,474) = ( 472 × 474) / 2
LCM(472,474) = 223728 / 2
LCM(472,474) = 111864
(i) The LCM of 474 and 472 is associative
LCM of 472 and 474 = LCM of 474 and 472
1. What is the LCM of 472 and 474?
Answer: LCM of 472 and 474 is 111864.
2. What are the Factors of 472?
Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.
3. What are the Factors of 474?
Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.
4. How to Find the LCM of 472 and 474?
Answer:
Least Common Multiple of 472 and 474 = 111864
Step 1: Find the prime factorization of 472
472 = 2 x 2 x 2 x 59
Step 2: Find the prime factorization of 474
474 = 2 x 3 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 111864 = 2 x 2 x 2 x 3 x 59 x 79
Step 4: Therefore, the least common multiple of 472 and 474 is 111864.