Least Common Multiple of 370 and 373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 370 and 373 the smallest integer that is 138010 that is divisible by both numbers.

Least Common Multiple (LCM) of 370 and 373 is 138010.

LCM(370,373) = 138010

LCM of 370 and 373

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 370 and 373

LCM of 370 and 373 is 138010

Least common multiple can be found by multiplying the highest exponent prime factors of 370 and 373. First we will calculate the prime factors of 370 and 373.

Prime Factorization of 370


2 370
5 185
37 37
1

Prime factors of 370 are 2, 5,37. Prime factorization of 370 in exponential form is:

370 = 21×51×371

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 370 and 373.

LCM(370,373) = 21×51×371×3731
LCM(370,373) = 138010

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1, 373

Least Common Multiple of 370 and 373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 370 and 373, than apply into the LCM equation.

GCF(370,373) = 1
LCM(370,373) = ( 370 × 373) / 1
LCM(370,373) = 138010 / 1
LCM(370,373) = 138010

Properties of LCM 370 and 373

(i) The LCM of 373 and 370 is associative

LCM of 370 and 373 = LCM of 373 and 370

Related Least Common Multiples of 370

Related Least Common Multiples of 373

Frequently Asked Questions on LCM of 370 and 373

1. What is the LCM of 370 and 373?

Answer: LCM of 370 and 373 is 138010.

2. What are the Factors of 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

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 370 and 373?

Answer:

Least Common Multiple of 370 and 373 = 138010

Step 1: Find the prime factorization of 370

370 = 2 x 5 x 37

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 = 138010 = 2 x 5 x 37 x 373

Step 4: Therefore, the least common multiple of 370 and 373 is 138010.