Least Common Multiple of 7646 and 7651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7646 and 7651 the smallest integer that is 58499546 that is divisible by both numbers.

Least Common Multiple (LCM) of 7646 and 7651 is 58499546.

LCM(7646,7651) = 58499546

LCM of 7646 and 7651

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

LCM of:
and

Least Common Multiple of 7646 and 7651

LCM of 7646 and 7651 is 58499546

Least common multiple can be found by multiplying the highest exponent prime factors of 7646 and 7651. First we will calculate the prime factors of 7646 and 7651.

Prime Factorization of 7646


2 7646
3823 3823
1

Prime factors of 7646 are 2,3823. Prime factorization of 7646 in exponential form is:

7646 = 21×38231

Prime Factorization of 7651


7 7651
1093 1093
1

Prime factors of 7651 are 7,1093. Prime factorization of 7651 in exponential form is:

7651 = 71×10931

Now multiplying the highest exponent prime factors to calculate the LCM of 7646 and 7651.

LCM(7646,7651) = 21×71×10931×38231
LCM(7646,7651) = 58499546

Factors of 7646

List of positive integer factors of 7646 that divides 7646 without a remainder.

1, 2, 3823, 7646

Factors of 7651

List of positive integer factors of 7651 that divides 7651 without a remainder.

1, 7, 1093, 7651

Least Common Multiple of 7646 and 7651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7646 and 7651, than apply into the LCM equation.

GCF(7646,7651) = 1
LCM(7646,7651) = ( 7646 × 7651) / 1
LCM(7646,7651) = 58499546 / 1
LCM(7646,7651) = 58499546

Properties of LCM 7646 and 7651

(i) The LCM of 7651 and 7646 is associative

LCM of 7646 and 7651 = LCM of 7651 and 7646

Related Least Common Multiples of 7646

Related Least Common Multiples of 7651

Frequently Asked Questions on LCM of 7646 and 7651

1. What is the LCM of 7646 and 7651?

Answer: LCM of 7646 and 7651 is 58499546.

2. What are the Factors of 7646?

Answer: Factors of 7646 are 1, 2, 3823, 7646. There are 4 integers that are factors of 7646. The greatest factor of 7646 is 7646.

3. What are the Factors of 7651?

Answer: Factors of 7651 are 1, 7, 1093, 7651. There are 4 integers that are factors of 7651. The greatest factor of 7651 is 7651.

4. How to Find the LCM of 7646 and 7651?

Answer:

Least Common Multiple of 7646 and 7651 = 58499546

Step 1: Find the prime factorization of 7646

7646 = 2 x 3823

Step 2: Find the prime factorization of 7651

7651 = 7 x 1093

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

LCM = 58499546 = 2 x 7 x 1093 x 3823

Step 4: Therefore, the least common multiple of 7646 and 7651 is 58499546.