Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 372 and 373 the smallest integer that is 138756 that is divisible by both numbers.
Least Common Multiple (LCM) of 372 and 373 is 138756.
LCM(372,373) = 138756
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 372 and 373. First we will calculate the prime factors of 372 and 373.
Prime Factorization of 372
2 | 372 |
2 | 186 |
3 | 93 |
31 | 31 |
1 |
Prime factors of 372 are 2, 3,31. Prime factorization of 372 in exponential form is:
372 = 22×31×311
Prime Factorization of 373
373 | 373 |
1 |
Prime factors of 373 are 373. Prime factorization of 373 in exponential form is:
373 = 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 372 and 373.
LCM(372,373) = 22×31×311×3731
LCM(372,373) = 138756
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1, 373
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 372 and 373, than apply into the LCM equation.
GCF(372,373) = 1
LCM(372,373) = ( 372 × 373) / 1
LCM(372,373) = 138756 / 1
LCM(372,373) = 138756
(i) The LCM of 373 and 372 is associative
LCM of 372 and 373 = LCM of 373 and 372
1. What is the LCM of 372 and 373?
Answer: LCM of 372 and 373 is 138756.
2. What are the Factors of 372?
Answer: Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372. There are 12 integers that are factors of 372. The greatest factor of 372 is 372.
3. What are the Factors of 373?
Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.
4. How to Find the LCM of 372 and 373?
Answer:
Least Common Multiple of 372 and 373 = 138756
Step 1: Find the prime factorization of 372
372 = 2 x 2 x 3 x 31
Step 2: Find the prime factorization of 373
373 = 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 138756 = 2 x 2 x 3 x 31 x 373
Step 4: Therefore, the least common multiple of 372 and 373 is 138756.