Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 661 and 668 the smallest integer that is 441548 that is divisible by both numbers.
Least Common Multiple (LCM) of 661 and 668 is 441548.
LCM(661,668) = 441548
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 661 and 668. First we will calculate the prime factors of 661 and 668.
Prime Factorization of 661
661 | 661 |
1 |
Prime factors of 661 are 661. Prime factorization of 661 in exponential form is:
661 = 6611
Prime Factorization of 668
2 | 668 |
2 | 334 |
167 | 167 |
1 |
Prime factors of 668 are 2,167. Prime factorization of 668 in exponential form is:
668 = 22×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 661 and 668.
LCM(661,668) = 22×1671×6611
LCM(661,668) = 441548
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1, 661
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 661 and 668, than apply into the LCM equation.
GCF(661,668) = 1
LCM(661,668) = ( 661 × 668) / 1
LCM(661,668) = 441548 / 1
LCM(661,668) = 441548
(i) The LCM of 668 and 661 is associative
LCM of 661 and 668 = LCM of 668 and 661
1. What is the LCM of 661 and 668?
Answer: LCM of 661 and 668 is 441548.
2. What are the Factors of 661?
Answer: Factors of 661 are 1, 661. There are 2 integers that are factors of 661. The greatest factor of 661 is 661.
3. What are the Factors of 668?
Answer: Factors of 668 are 1, 2, 4, 167, 334, 668. There are 6 integers that are factors of 668. The greatest factor of 668 is 668.
4. How to Find the LCM of 661 and 668?
Answer:
Least Common Multiple of 661 and 668 = 441548
Step 1: Find the prime factorization of 661
661 = 661
Step 2: Find the prime factorization of 668
668 = 2 x 2 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 441548 = 2 x 2 x 167 x 661
Step 4: Therefore, the least common multiple of 661 and 668 is 441548.