Least Common Multiple of 9374 and 9377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9374 and 9377 the smallest integer that is 87899998 that is divisible by both numbers.

Least Common Multiple (LCM) of 9374 and 9377 is 87899998.

LCM(9374,9377) = 87899998

LCM of 9374 and 9377

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

LCM of:
and

Least Common Multiple of 9374 and 9377

LCM of 9374 and 9377 is 87899998

Least common multiple can be found by multiplying the highest exponent prime factors of 9374 and 9377. First we will calculate the prime factors of 9374 and 9377.

Prime Factorization of 9374


2 9374
43 4687
109 109
1

Prime factors of 9374 are 2, 43,109. Prime factorization of 9374 in exponential form is:

9374 = 21×431×1091

Prime Factorization of 9377


9377 9377
1

Prime factors of 9377 are 9377. Prime factorization of 9377 in exponential form is:

9377 = 93771

Now multiplying the highest exponent prime factors to calculate the LCM of 9374 and 9377.

LCM(9374,9377) = 21×431×1091×93771
LCM(9374,9377) = 87899998

Factors of 9374

List of positive integer factors of 9374 that divides 9374 without a remainder.

1, 2, 43, 86, 109, 218, 4687, 9374

Factors of 9377

List of positive integer factors of 9377 that divides 9377 without a remainder.

1, 9377

Least Common Multiple of 9374 and 9377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9374 and 9377, than apply into the LCM equation.

GCF(9374,9377) = 1
LCM(9374,9377) = ( 9374 × 9377) / 1
LCM(9374,9377) = 87899998 / 1
LCM(9374,9377) = 87899998

Properties of LCM 9374 and 9377

(i) The LCM of 9377 and 9374 is associative

LCM of 9374 and 9377 = LCM of 9377 and 9374

Related Least Common Multiples of 9374

Related Least Common Multiples of 9377

Frequently Asked Questions on LCM of 9374 and 9377

1. What is the LCM of 9374 and 9377?

Answer: LCM of 9374 and 9377 is 87899998.

2. What are the Factors of 9374?

Answer: Factors of 9374 are 1, 2, 43, 86, 109, 218, 4687, 9374. There are 8 integers that are factors of 9374. The greatest factor of 9374 is 9374.

3. What are the Factors of 9377?

Answer: Factors of 9377 are 1, 9377. There are 2 integers that are factors of 9377. The greatest factor of 9377 is 9377.

4. How to Find the LCM of 9374 and 9377?

Answer:

Least Common Multiple of 9374 and 9377 = 87899998

Step 1: Find the prime factorization of 9374

9374 = 2 x 43 x 109

Step 2: Find the prime factorization of 9377

9377 = 9377

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 87899998 = 2 x 43 x 109 x 9377

Step 4: Therefore, the least common multiple of 9374 and 9377 is 87899998.