Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 739 and 746 the smallest integer that is 551294 that is divisible by both numbers.
Least Common Multiple (LCM) of 739 and 746 is 551294.
LCM(739,746) = 551294
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 739 and 746. First we will calculate the prime factors of 739 and 746.
Prime Factorization of 739
739 | 739 |
1 |
Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:
739 = 7391
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 739 and 746.
LCM(739,746) = 21×3731×7391
LCM(739,746) = 551294
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1, 739
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 739 and 746, than apply into the LCM equation.
GCF(739,746) = 1
LCM(739,746) = ( 739 × 746) / 1
LCM(739,746) = 551294 / 1
LCM(739,746) = 551294
(i) The LCM of 746 and 739 is associative
LCM of 739 and 746 = LCM of 746 and 739
1. What is the LCM of 739 and 746?
Answer: LCM of 739 and 746 is 551294.
2. What are the Factors of 739?
Answer: Factors of 739 are 1, 739. There are 2 integers that are factors of 739. The greatest factor of 739 is 739.
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 739 and 746?
Answer:
Least Common Multiple of 739 and 746 = 551294
Step 1: Find the prime factorization of 739
739 = 739
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 = 551294 = 2 x 373 x 739
Step 4: Therefore, the least common multiple of 739 and 746 is 551294.