Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4710 and 4712 the smallest integer that is 11096760 that is divisible by both numbers.
Least Common Multiple (LCM) of 4710 and 4712 is 11096760.
LCM(4710,4712) = 11096760
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 4710 and 4712. First we will calculate the prime factors of 4710 and 4712.
Prime Factorization of 4710
2 | 4710 |
3 | 2355 |
5 | 785 |
157 | 157 |
1 |
Prime factors of 4710 are 2, 3, 5,157. Prime factorization of 4710 in exponential form is:
4710 = 21×31×51×1571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4710 and 4712.
LCM(4710,4712) = 23×31×51×191×311×1571
LCM(4710,4712) = 11096760
Factors of 4710
List of positive integer factors of 4710 that divides 4710 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4710 and 4712, than apply into the LCM equation.
GCF(4710,4712) = 2
LCM(4710,4712) = ( 4710 × 4712) / 2
LCM(4710,4712) = 22193520 / 2
LCM(4710,4712) = 11096760
(i) The LCM of 4712 and 4710 is associative
LCM of 4710 and 4712 = LCM of 4712 and 4710
1. What is the LCM of 4710 and 4712?
Answer: LCM of 4710 and 4712 is 11096760.
2. What are the Factors of 4710?
Answer: Factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710. There are 16 integers that are factors of 4710. The greatest factor of 4710 is 4710.
3. 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.
4. How to Find the LCM of 4710 and 4712?
Answer:
Least Common Multiple of 4710 and 4712 = 11096760
Step 1: Find the prime factorization of 4710
4710 = 2 x 3 x 5 x 157
Step 2: Find the prime factorization of 4712
4712 = 2 x 2 x 2 x 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11096760 = 2 x 2 x 2 x 3 x 5 x 19 x 31 x 157
Step 4: Therefore, the least common multiple of 4710 and 4712 is 11096760.