Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 737 and 739 the smallest integer that is 544643 that is divisible by both numbers.
Least Common Multiple (LCM) of 737 and 739 is 544643.
LCM(737,739) = 544643
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 737 and 739. First we will calculate the prime factors of 737 and 739.
Prime Factorization of 737
11 | 737 |
67 | 67 |
1 |
Prime factors of 737 are 11,67. Prime factorization of 737 in exponential form is:
737 = 111×671
Prime Factorization of 739
739 | 739 |
1 |
Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:
739 = 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 737 and 739.
LCM(737,739) = 111×671×7391
LCM(737,739) = 544643
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1, 739
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 737 and 739, than apply into the LCM equation.
GCF(737,739) = 1
LCM(737,739) = ( 737 × 739) / 1
LCM(737,739) = 544643 / 1
LCM(737,739) = 544643
(i) The LCM of 739 and 737 is associative
LCM of 737 and 739 = LCM of 739 and 737
1. What is the LCM of 737 and 739?
Answer: LCM of 737 and 739 is 544643.
2. What are the Factors of 737?
Answer: Factors of 737 are 1, 11, 67, 737. There are 4 integers that are factors of 737. The greatest factor of 737 is 737.
3. 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.
4. How to Find the LCM of 737 and 739?
Answer:
Least Common Multiple of 737 and 739 = 544643
Step 1: Find the prime factorization of 737
737 = 11 x 67
Step 2: Find the prime factorization of 739
739 = 739
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 544643 = 11 x 67 x 739
Step 4: Therefore, the least common multiple of 737 and 739 is 544643.