Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 743 and 746 the smallest integer that is 554278 that is divisible by both numbers.
Least Common Multiple (LCM) of 743 and 746 is 554278.
LCM(743,746) = 554278
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 743 and 746. First we will calculate the prime factors of 743 and 746.
Prime Factorization of 743
743 | 743 |
1 |
Prime factors of 743 are 743. Prime factorization of 743 in exponential form is:
743 = 7431
Prime Factorization of 746
2 | 746 |
373 | 373 |
1 |
Prime factors of 746 are 2,373. Prime factorization of 746 in exponential form is:
746 = 21×3731
Now multiplying the highest exponent prime factors to calculate the LCM of 743 and 746.
LCM(743,746) = 21×3731×7431
LCM(743,746) = 554278
Factors of 743
List of positive integer factors of 743 that divides 743 without a remainder.
1, 743
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1, 2, 373, 746
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 743 and 746, than apply into the LCM equation.
GCF(743,746) = 1
LCM(743,746) = ( 743 × 746) / 1
LCM(743,746) = 554278 / 1
LCM(743,746) = 554278
(i) The LCM of 746 and 743 is associative
LCM of 743 and 746 = LCM of 746 and 743
1. What is the LCM of 743 and 746?
Answer: LCM of 743 and 746 is 554278.
2. What are the Factors of 743?
Answer: Factors of 743 are 1, 743. There are 2 integers that are factors of 743. The greatest factor of 743 is 743.
3. What are the Factors of 746?
Answer: Factors of 746 are 1, 2, 373, 746. There are 4 integers that are factors of 746. The greatest factor of 746 is 746.
4. How to Find the LCM of 743 and 746?
Answer:
Least Common Multiple of 743 and 746 = 554278
Step 1: Find the prime factorization of 743
743 = 743
Step 2: Find the prime factorization of 746
746 = 2 x 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 554278 = 2 x 373 x 743
Step 4: Therefore, the least common multiple of 743 and 746 is 554278.