Least Common Multiple of 4638 and 4646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4638 and 4646 the smallest integer that is 10774074 that is divisible by both numbers.

Least Common Multiple (LCM) of 4638 and 4646 is 10774074.

LCM(4638,4646) = 10774074

LCM of 4638 and 4646

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

LCM of:
and

Least Common Multiple of 4638 and 4646

LCM of 4638 and 4646 is 10774074

Least common multiple can be found by multiplying the highest exponent prime factors of 4638 and 4646. First we will calculate the prime factors of 4638 and 4646.

Prime Factorization of 4638


2 4638
3 2319
773 773
1

Prime factors of 4638 are 2, 3,773. Prime factorization of 4638 in exponential form is:

4638 = 21×31×7731

Prime Factorization of 4646


2 4646
23 2323
101 101
1

Prime factors of 4646 are 2, 23,101. Prime factorization of 4646 in exponential form is:

4646 = 21×231×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4638 and 4646.

LCM(4638,4646) = 21×31×231×1011×7731
LCM(4638,4646) = 10774074

Factors of 4638

List of positive integer factors of 4638 that divides 4638 without a remainder.

1, 2, 3, 6, 773, 1546, 2319, 4638

Factors of 4646

List of positive integer factors of 4646 that divides 4646 without a remainder.

1, 2, 23, 46, 101, 202, 2323, 4646

Least Common Multiple of 4638 and 4646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4638 and 4646, than apply into the LCM equation.

GCF(4638,4646) = 2
LCM(4638,4646) = ( 4638 × 4646) / 2
LCM(4638,4646) = 21548148 / 2
LCM(4638,4646) = 10774074

Properties of LCM 4638 and 4646

(i) The LCM of 4646 and 4638 is associative

LCM of 4638 and 4646 = LCM of 4646 and 4638

Related Least Common Multiples of 4638

Related Least Common Multiples of 4646

Frequently Asked Questions on LCM of 4638 and 4646

1. What is the LCM of 4638 and 4646?

Answer: LCM of 4638 and 4646 is 10774074.

2. What are the Factors of 4638?

Answer: Factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638. There are 8 integers that are factors of 4638. The greatest factor of 4638 is 4638.

3. What are the Factors of 4646?

Answer: Factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646. There are 8 integers that are factors of 4646. The greatest factor of 4646 is 4646.

4. How to Find the LCM of 4638 and 4646?

Answer:

Least Common Multiple of 4638 and 4646 = 10774074

Step 1: Find the prime factorization of 4638

4638 = 2 x 3 x 773

Step 2: Find the prime factorization of 4646

4646 = 2 x 23 x 101

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

LCM = 10774074 = 2 x 3 x 23 x 101 x 773

Step 4: Therefore, the least common multiple of 4638 and 4646 is 10774074.