Least Common Multiple of 4619 and 4626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4619 and 4626 the smallest integer that is 21367494 that is divisible by both numbers.

Least Common Multiple (LCM) of 4619 and 4626 is 21367494.

LCM(4619,4626) = 21367494

LCM of 4619 and 4626

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

LCM of:
and

Least Common Multiple of 4619 and 4626

LCM of 4619 and 4626 is 21367494

Least common multiple can be found by multiplying the highest exponent prime factors of 4619 and 4626. First we will calculate the prime factors of 4619 and 4626.

Prime Factorization of 4619


31 4619
149 149
1

Prime factors of 4619 are 31,149. Prime factorization of 4619 in exponential form is:

4619 = 311×1491

Prime Factorization of 4626


2 4626
3 2313
3 771
257 257
1

Prime factors of 4626 are 2, 3,257. Prime factorization of 4626 in exponential form is:

4626 = 21×32×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 4619 and 4626.

LCM(4619,4626) = 21×32×311×1491×2571
LCM(4619,4626) = 21367494

Factors of 4619

List of positive integer factors of 4619 that divides 4619 without a remainder.

1, 31, 149, 4619

Factors of 4626

List of positive integer factors of 4626 that divides 4626 without a remainder.

1, 2, 3, 6, 9, 18, 257, 514, 771, 1542, 2313, 4626

Least Common Multiple of 4619 and 4626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4619 and 4626, than apply into the LCM equation.

GCF(4619,4626) = 1
LCM(4619,4626) = ( 4619 × 4626) / 1
LCM(4619,4626) = 21367494 / 1
LCM(4619,4626) = 21367494

Properties of LCM 4619 and 4626

(i) The LCM of 4626 and 4619 is associative

LCM of 4619 and 4626 = LCM of 4626 and 4619

Related Least Common Multiples of 4619

Related Least Common Multiples of 4626

Frequently Asked Questions on LCM of 4619 and 4626

1. What is the LCM of 4619 and 4626?

Answer: LCM of 4619 and 4626 is 21367494.

2. What are the Factors of 4619?

Answer: Factors of 4619 are 1, 31, 149, 4619. There are 4 integers that are factors of 4619. The greatest factor of 4619 is 4619.

3. What are the Factors of 4626?

Answer: Factors of 4626 are 1, 2, 3, 6, 9, 18, 257, 514, 771, 1542, 2313, 4626. There are 12 integers that are factors of 4626. The greatest factor of 4626 is 4626.

4. How to Find the LCM of 4619 and 4626?

Answer:

Least Common Multiple of 4619 and 4626 = 21367494

Step 1: Find the prime factorization of 4619

4619 = 31 x 149

Step 2: Find the prime factorization of 4626

4626 = 2 x 3 x 3 x 257

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

LCM = 21367494 = 2 x 3 x 3 x 31 x 149 x 257

Step 4: Therefore, the least common multiple of 4619 and 4626 is 21367494.