Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1474 and 1476 the smallest integer that is 1087812 that is divisible by both numbers.
Least Common Multiple (LCM) of 1474 and 1476 is 1087812.
LCM(1474,1476) = 1087812
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 1474 and 1476. First we will calculate the prime factors of 1474 and 1476.
Prime Factorization of 1474
2 | 1474 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 1474 are 2, 11,67. Prime factorization of 1474 in exponential form is:
1474 = 21×111×671
Prime Factorization of 1476
2 | 1476 |
2 | 738 |
3 | 369 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 1476 are 2, 3,41. Prime factorization of 1476 in exponential form is:
1476 = 22×32×411
Now multiplying the highest exponent prime factors to calculate the LCM of 1474 and 1476.
LCM(1474,1476) = 22×32×111×411×671
LCM(1474,1476) = 1087812
Factors of 1474
List of positive integer factors of 1474 that divides 1474 without a remainder.
1, 2, 11, 22, 67, 134, 737, 1474
Factors of 1476
List of positive integer factors of 1476 that divides 1476 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1474 and 1476, than apply into the LCM equation.
GCF(1474,1476) = 2
LCM(1474,1476) = ( 1474 × 1476) / 2
LCM(1474,1476) = 2175624 / 2
LCM(1474,1476) = 1087812
(i) The LCM of 1476 and 1474 is associative
LCM of 1474 and 1476 = LCM of 1476 and 1474
1. What is the LCM of 1474 and 1476?
Answer: LCM of 1474 and 1476 is 1087812.
2. What are the Factors of 1474?
Answer: Factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474. There are 8 integers that are factors of 1474. The greatest factor of 1474 is 1474.
3. What are the Factors of 1476?
Answer: Factors of 1476 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476. There are 18 integers that are factors of 1476. The greatest factor of 1476 is 1476.
4. How to Find the LCM of 1474 and 1476?
Answer:
Least Common Multiple of 1474 and 1476 = 1087812
Step 1: Find the prime factorization of 1474
1474 = 2 x 11 x 67
Step 2: Find the prime factorization of 1476
1476 = 2 x 2 x 3 x 3 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1087812 = 2 x 2 x 3 x 3 x 11 x 41 x 67
Step 4: Therefore, the least common multiple of 1474 and 1476 is 1087812.