Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 744 and 745 the smallest integer that is 554280 that is divisible by both numbers.
Least Common Multiple (LCM) of 744 and 745 is 554280.
LCM(744,745) = 554280
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 744 and 745. First we will calculate the prime factors of 744 and 745.
Prime Factorization of 744
2 | 744 |
2 | 372 |
2 | 186 |
3 | 93 |
31 | 31 |
1 |
Prime factors of 744 are 2, 3,31. Prime factorization of 744 in exponential form is:
744 = 23×31×311
Prime Factorization of 745
5 | 745 |
149 | 149 |
1 |
Prime factors of 745 are 5,149. Prime factorization of 745 in exponential form is:
745 = 51×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 744 and 745.
LCM(744,745) = 23×31×51×311×1491
LCM(744,745) = 554280
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1, 5, 149, 745
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 744 and 745, than apply into the LCM equation.
GCF(744,745) = 1
LCM(744,745) = ( 744 × 745) / 1
LCM(744,745) = 554280 / 1
LCM(744,745) = 554280
(i) The LCM of 745 and 744 is associative
LCM of 744 and 745 = LCM of 745 and 744
1. What is the LCM of 744 and 745?
Answer: LCM of 744 and 745 is 554280.
2. What are the Factors of 744?
Answer: Factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744. There are 16 integers that are factors of 744. The greatest factor of 744 is 744.
3. What are the Factors of 745?
Answer: Factors of 745 are 1, 5, 149, 745. There are 4 integers that are factors of 745. The greatest factor of 745 is 745.
4. How to Find the LCM of 744 and 745?
Answer:
Least Common Multiple of 744 and 745 = 554280
Step 1: Find the prime factorization of 744
744 = 2 x 2 x 2 x 3 x 31
Step 2: Find the prime factorization of 745
745 = 5 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 554280 = 2 x 2 x 2 x 3 x 5 x 31 x 149
Step 4: Therefore, the least common multiple of 744 and 745 is 554280.