Least Common Multiple of 4619 and 4627

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 4627 the smallest integer that is 21372113 that is divisible by both numbers.

Least Common Multiple (LCM) of 4619 and 4627 is 21372113.

LCM(4619,4627) = 21372113

LCM of 4619 and 4627

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

LCM of:
and

Least Common Multiple of 4619 and 4627

LCM of 4619 and 4627 is 21372113

Least common multiple can be found by multiplying the highest exponent prime factors of 4619 and 4627. First we will calculate the prime factors of 4619 and 4627.

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 4627


7 4627
661 661
1

Prime factors of 4627 are 7,661. Prime factorization of 4627 in exponential form is:

4627 = 71×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 4619 and 4627.

LCM(4619,4627) = 71×311×1491×6611
LCM(4619,4627) = 21372113

Factors of 4619

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

1, 31, 149, 4619

Factors of 4627

List of positive integer factors of 4627 that divides 4627 without a remainder.

1, 7, 661, 4627

Least Common Multiple of 4619 and 4627 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 4627, than apply into the LCM equation.

GCF(4619,4627) = 1
LCM(4619,4627) = ( 4619 × 4627) / 1
LCM(4619,4627) = 21372113 / 1
LCM(4619,4627) = 21372113

Properties of LCM 4619 and 4627

(i) The LCM of 4627 and 4619 is associative

LCM of 4619 and 4627 = LCM of 4627 and 4619

Related Least Common Multiples of 4619

Related Least Common Multiples of 4627

Frequently Asked Questions on LCM of 4619 and 4627

1. What is the LCM of 4619 and 4627?

Answer: LCM of 4619 and 4627 is 21372113.

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 4627?

Answer: Factors of 4627 are 1, 7, 661, 4627. There are 4 integers that are factors of 4627. The greatest factor of 4627 is 4627.

4. How to Find the LCM of 4619 and 4627?

Answer:

Least Common Multiple of 4619 and 4627 = 21372113

Step 1: Find the prime factorization of 4619

4619 = 31 x 149

Step 2: Find the prime factorization of 4627

4627 = 7 x 661

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

LCM = 21372113 = 7 x 31 x 149 x 661

Step 4: Therefore, the least common multiple of 4619 and 4627 is 21372113.