Least Common Multiple of 308417 and 308422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308417 and 308422 the smallest integer that is 95122587974 that is divisible by both numbers.

Least Common Multiple (LCM) of 308417 and 308422 is 95122587974.

LCM(308417,308422) = 95122587974

LCM of 308417 and 308422

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

LCM of:
and

Least Common Multiple of 308417 and 308422

LCM of 308417 and 308422 is 95122587974

Least common multiple can be found by multiplying the highest exponent prime factors of 308417 and 308422. First we will calculate the prime factors of 308417 and 308422.

Prime Factorization of 308417


179 308417
1723 1723
1

Prime factors of 308417 are 179,1723. Prime factorization of 308417 in exponential form is:

308417 = 1791×17231

Prime Factorization of 308422


2 308422
154211 154211
1

Prime factors of 308422 are 2,154211. Prime factorization of 308422 in exponential form is:

308422 = 21×1542111

Now multiplying the highest exponent prime factors to calculate the LCM of 308417 and 308422.

LCM(308417,308422) = 21×1791×17231×1542111
LCM(308417,308422) = 95122587974

Factors of 308417

List of positive integer factors of 308417 that divides 308417 without a remainder.

1, 179, 1723, 308417

Factors of 308422

List of positive integer factors of 308422 that divides 308422 without a remainder.

1, 2, 154211, 308422

Least Common Multiple of 308417 and 308422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308417 and 308422, than apply into the LCM equation.

GCF(308417,308422) = 1
LCM(308417,308422) = ( 308417 × 308422) / 1
LCM(308417,308422) = 95122587974 / 1
LCM(308417,308422) = 95122587974

Properties of LCM 308417 and 308422

(i) The LCM of 308422 and 308417 is associative

LCM of 308417 and 308422 = LCM of 308422 and 308417

Related Least Common Multiples of 308417

Related Least Common Multiples of 308422

Frequently Asked Questions on LCM of 308417 and 308422

1. What is the LCM of 308417 and 308422?

Answer: LCM of 308417 and 308422 is 95122587974.

2. What are the Factors of 308417?

Answer: Factors of 308417 are 1, 179, 1723, 308417. There are 4 integers that are factors of 308417. The greatest factor of 308417 is 308417.

3. What are the Factors of 308422?

Answer: Factors of 308422 are 1, 2, 154211, 308422. There are 4 integers that are factors of 308422. The greatest factor of 308422 is 308422.

4. How to Find the LCM of 308417 and 308422?

Answer:

Least Common Multiple of 308417 and 308422 = 95122587974

Step 1: Find the prime factorization of 308417

308417 = 179 x 1723

Step 2: Find the prime factorization of 308422

308422 = 2 x 154211

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

LCM = 95122587974 = 2 x 179 x 1723 x 154211

Step 4: Therefore, the least common multiple of 308417 and 308422 is 95122587974.