Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4646 and 4651 the smallest integer that is 21608546 that is divisible by both numbers.
Least Common Multiple (LCM) of 4646 and 4651 is 21608546.
LCM(4646,4651) = 21608546
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 4646 and 4651. First we will calculate the prime factors of 4646 and 4651.
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
Prime Factorization of 4651
4651 | 4651 |
1 |
Prime factors of 4651 are 4651. Prime factorization of 4651 in exponential form is:
4651 = 46511
Now multiplying the highest exponent prime factors to calculate the LCM of 4646 and 4651.
LCM(4646,4651) = 21×231×1011×46511
LCM(4646,4651) = 21608546
Factors of 4646
List of positive integer factors of 4646 that divides 4646 without a remainder.
1, 2, 23, 46, 101, 202, 2323, 4646
Factors of 4651
List of positive integer factors of 4651 that divides 4651 without a remainder.
1, 4651
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4646 and 4651, than apply into the LCM equation.
GCF(4646,4651) = 1
LCM(4646,4651) = ( 4646 × 4651) / 1
LCM(4646,4651) = 21608546 / 1
LCM(4646,4651) = 21608546
(i) The LCM of 4651 and 4646 is associative
LCM of 4646 and 4651 = LCM of 4651 and 4646
1. What is the LCM of 4646 and 4651?
Answer: LCM of 4646 and 4651 is 21608546.
2. 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.
3. What are the Factors of 4651?
Answer: Factors of 4651 are 1, 4651. There are 2 integers that are factors of 4651. The greatest factor of 4651 is 4651.
4. How to Find the LCM of 4646 and 4651?
Answer:
Least Common Multiple of 4646 and 4651 = 21608546
Step 1: Find the prime factorization of 4646
4646 = 2 x 23 x 101
Step 2: Find the prime factorization of 4651
4651 = 4651
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21608546 = 2 x 23 x 101 x 4651
Step 4: Therefore, the least common multiple of 4646 and 4651 is 21608546.