Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4566 and 4572 the smallest integer that is 3479292 that is divisible by both numbers.
Least Common Multiple (LCM) of 4566 and 4572 is 3479292.
LCM(4566,4572) = 3479292
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 4566 and 4572. First we will calculate the prime factors of 4566 and 4572.
Prime Factorization of 4566
2 | 4566 |
3 | 2283 |
761 | 761 |
1 |
Prime factors of 4566 are 2, 3,761. Prime factorization of 4566 in exponential form is:
4566 = 21×31×7611
Prime Factorization of 4572
2 | 4572 |
2 | 2286 |
3 | 1143 |
3 | 381 |
127 | 127 |
1 |
Prime factors of 4572 are 2, 3,127. Prime factorization of 4572 in exponential form is:
4572 = 22×32×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 4566 and 4572.
LCM(4566,4572) = 22×32×1271×7611
LCM(4566,4572) = 3479292
Factors of 4566
List of positive integer factors of 4566 that divides 4566 without a remainder.
1, 2, 3, 6, 761, 1522, 2283, 4566
Factors of 4572
List of positive integer factors of 4572 that divides 4572 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 127, 254, 381, 508, 762, 1143, 1524, 2286, 4572
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4566 and 4572, than apply into the LCM equation.
GCF(4566,4572) = 6
LCM(4566,4572) = ( 4566 × 4572) / 6
LCM(4566,4572) = 20875752 / 6
LCM(4566,4572) = 3479292
(i) The LCM of 4572 and 4566 is associative
LCM of 4566 and 4572 = LCM of 4572 and 4566
1. What is the LCM of 4566 and 4572?
Answer: LCM of 4566 and 4572 is 3479292.
2. What are the Factors of 4566?
Answer: Factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566. There are 8 integers that are factors of 4566. The greatest factor of 4566 is 4566.
3. What are the Factors of 4572?
Answer: Factors of 4572 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 127, 254, 381, 508, 762, 1143, 1524, 2286, 4572. There are 18 integers that are factors of 4572. The greatest factor of 4572 is 4572.
4. How to Find the LCM of 4566 and 4572?
Answer:
Least Common Multiple of 4566 and 4572 = 3479292
Step 1: Find the prime factorization of 4566
4566 = 2 x 3 x 761
Step 2: Find the prime factorization of 4572
4572 = 2 x 2 x 3 x 3 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3479292 = 2 x 2 x 3 x 3 x 127 x 761
Step 4: Therefore, the least common multiple of 4566 and 4572 is 3479292.