Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4638 and 4646 the smallest integer that is 10774074 that is divisible by both numbers.
Least Common Multiple (LCM) of 4638 and 4646 is 10774074.
LCM(4638,4646) = 10774074
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 4638 and 4646. First we will calculate the prime factors of 4638 and 4646.
Prime Factorization of 4638
2 | 4638 |
3 | 2319 |
773 | 773 |
1 |
Prime factors of 4638 are 2, 3,773. Prime factorization of 4638 in exponential form is:
4638 = 21×31×7731
Prime Factorization of 4646
2 | 4646 |
23 | 2323 |
101 | 101 |
1 |
Prime factors of 4646 are 2, 23,101. Prime factorization of 4646 in exponential form is:
4646 = 21×231×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 4638 and 4646.
LCM(4638,4646) = 21×31×231×1011×7731
LCM(4638,4646) = 10774074
Factors of 4638
List of positive integer factors of 4638 that divides 4638 without a remainder.
1, 2, 3, 6, 773, 1546, 2319, 4638
Factors of 4646
List of positive integer factors of 4646 that divides 4646 without a remainder.
1, 2, 23, 46, 101, 202, 2323, 4646
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4638 and 4646, than apply into the LCM equation.
GCF(4638,4646) = 2
LCM(4638,4646) = ( 4638 × 4646) / 2
LCM(4638,4646) = 21548148 / 2
LCM(4638,4646) = 10774074
(i) The LCM of 4646 and 4638 is associative
LCM of 4638 and 4646 = LCM of 4646 and 4638
1. What is the LCM of 4638 and 4646?
Answer: LCM of 4638 and 4646 is 10774074.
2. What are the Factors of 4638?
Answer: Factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638. There are 8 integers that are factors of 4638. The greatest factor of 4638 is 4638.
3. What are the Factors of 4646?
Answer: Factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646. There are 8 integers that are factors of 4646. The greatest factor of 4646 is 4646.
4. How to Find the LCM of 4638 and 4646?
Answer:
Least Common Multiple of 4638 and 4646 = 10774074
Step 1: Find the prime factorization of 4638
4638 = 2 x 3 x 773
Step 2: Find the prime factorization of 4646
4646 = 2 x 23 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10774074 = 2 x 3 x 23 x 101 x 773
Step 4: Therefore, the least common multiple of 4638 and 4646 is 10774074.