Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4712 and 4716 the smallest integer that is 5555448 that is divisible by both numbers.
Least Common Multiple (LCM) of 4712 and 4716 is 5555448.
LCM(4712,4716) = 5555448
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 4712 and 4716. First we will calculate the prime factors of 4712 and 4716.
Prime Factorization of 4712
2 | 4712 |
2 | 2356 |
2 | 1178 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 4712 are 2, 19,31. Prime factorization of 4712 in exponential form is:
4712 = 23×191×311
Prime Factorization of 4716
2 | 4716 |
2 | 2358 |
3 | 1179 |
3 | 393 |
131 | 131 |
1 |
Prime factors of 4716 are 2, 3,131. Prime factorization of 4716 in exponential form is:
4716 = 22×32×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 4712 and 4716.
LCM(4712,4716) = 23×32×191×311×1311
LCM(4712,4716) = 5555448
Factors of 4712
List of positive integer factors of 4712 that divides 4712 without a remainder.
1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712
Factors of 4716
List of positive integer factors of 4716 that divides 4716 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4712 and 4716, than apply into the LCM equation.
GCF(4712,4716) = 4
LCM(4712,4716) = ( 4712 × 4716) / 4
LCM(4712,4716) = 22221792 / 4
LCM(4712,4716) = 5555448
(i) The LCM of 4716 and 4712 is associative
LCM of 4712 and 4716 = LCM of 4716 and 4712
1. What is the LCM of 4712 and 4716?
Answer: LCM of 4712 and 4716 is 5555448.
2. What are the Factors of 4712?
Answer: Factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712. There are 16 integers that are factors of 4712. The greatest factor of 4712 is 4712.
3. What are the Factors of 4716?
Answer: Factors of 4716 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716. There are 18 integers that are factors of 4716. The greatest factor of 4716 is 4716.
4. How to Find the LCM of 4712 and 4716?
Answer:
Least Common Multiple of 4712 and 4716 = 5555448
Step 1: Find the prime factorization of 4712
4712 = 2 x 2 x 2 x 19 x 31
Step 2: Find the prime factorization of 4716
4716 = 2 x 2 x 3 x 3 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5555448 = 2 x 2 x 2 x 3 x 3 x 19 x 31 x 131
Step 4: Therefore, the least common multiple of 4712 and 4716 is 5555448.