Least Common Multiple of 309446 and 309450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309446 and 309450 the smallest integer that is 47879032350 that is divisible by both numbers.

Least Common Multiple (LCM) of 309446 and 309450 is 47879032350.

LCM(309446,309450) = 47879032350

LCM of 309446 and 309450

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

LCM of:
and

Least Common Multiple of 309446 and 309450

LCM of 309446 and 309450 is 47879032350

Least common multiple can be found by multiplying the highest exponent prime factors of 309446 and 309450. First we will calculate the prime factors of 309446 and 309450.

Prime Factorization of 309446


2 309446
154723 154723
1

Prime factors of 309446 are 2,154723. Prime factorization of 309446 in exponential form is:

309446 = 21×1547231

Prime Factorization of 309450


2 309450
3 154725
5 51575
5 10315
2063 2063
1

Prime factors of 309450 are 2, 3, 5,2063. Prime factorization of 309450 in exponential form is:

309450 = 21×31×52×20631

Now multiplying the highest exponent prime factors to calculate the LCM of 309446 and 309450.

LCM(309446,309450) = 21×31×52×20631×1547231
LCM(309446,309450) = 47879032350

Factors of 309446

List of positive integer factors of 309446 that divides 309446 without a remainder.

1, 2, 154723, 309446

Factors of 309450

List of positive integer factors of 309450 that divides 309450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 2063, 4126, 6189, 10315, 12378, 20630, 30945, 51575, 61890, 103150, 154725, 309450

Least Common Multiple of 309446 and 309450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309446 and 309450, than apply into the LCM equation.

GCF(309446,309450) = 2
LCM(309446,309450) = ( 309446 × 309450) / 2
LCM(309446,309450) = 95758064700 / 2
LCM(309446,309450) = 47879032350

Properties of LCM 309446 and 309450

(i) The LCM of 309450 and 309446 is associative

LCM of 309446 and 309450 = LCM of 309450 and 309446

Related Least Common Multiples of 309446

Related Least Common Multiples of 309450

Frequently Asked Questions on LCM of 309446 and 309450

1. What is the LCM of 309446 and 309450?

Answer: LCM of 309446 and 309450 is 47879032350.

2. What are the Factors of 309446?

Answer: Factors of 309446 are 1, 2, 154723, 309446. There are 4 integers that are factors of 309446. The greatest factor of 309446 is 309446.

3. What are the Factors of 309450?

Answer: Factors of 309450 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 2063, 4126, 6189, 10315, 12378, 20630, 30945, 51575, 61890, 103150, 154725, 309450. There are 24 integers that are factors of 309450. The greatest factor of 309450 is 309450.

4. How to Find the LCM of 309446 and 309450?

Answer:

Least Common Multiple of 309446 and 309450 = 47879032350

Step 1: Find the prime factorization of 309446

309446 = 2 x 154723

Step 2: Find the prime factorization of 309450

309450 = 2 x 3 x 5 x 5 x 2063

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

LCM = 47879032350 = 2 x 3 x 5 x 5 x 2063 x 154723

Step 4: Therefore, the least common multiple of 309446 and 309450 is 47879032350.