Least Common Multiple of 7654 and 7657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7654 and 7657 the smallest integer that is 58606678 that is divisible by both numbers.

Least Common Multiple (LCM) of 7654 and 7657 is 58606678.

LCM(7654,7657) = 58606678

LCM of 7654 and 7657

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

LCM of:
and

Least Common Multiple of 7654 and 7657

LCM of 7654 and 7657 is 58606678

Least common multiple can be found by multiplying the highest exponent prime factors of 7654 and 7657. First we will calculate the prime factors of 7654 and 7657.

Prime Factorization of 7654


2 7654
43 3827
89 89
1

Prime factors of 7654 are 2, 43,89. Prime factorization of 7654 in exponential form is:

7654 = 21×431×891

Prime Factorization of 7657


13 7657
19 589
31 31
1

Prime factors of 7657 are 13, 19,31. Prime factorization of 7657 in exponential form is:

7657 = 131×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7654 and 7657.

LCM(7654,7657) = 21×131×191×311×431×891
LCM(7654,7657) = 58606678

Factors of 7654

List of positive integer factors of 7654 that divides 7654 without a remainder.

1, 2, 43, 86, 89, 178, 3827, 7654

Factors of 7657

List of positive integer factors of 7657 that divides 7657 without a remainder.

1, 13, 19, 31, 247, 403, 589, 7657

Least Common Multiple of 7654 and 7657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7654 and 7657, than apply into the LCM equation.

GCF(7654,7657) = 1
LCM(7654,7657) = ( 7654 × 7657) / 1
LCM(7654,7657) = 58606678 / 1
LCM(7654,7657) = 58606678

Properties of LCM 7654 and 7657

(i) The LCM of 7657 and 7654 is associative

LCM of 7654 and 7657 = LCM of 7657 and 7654

Related Least Common Multiples of 7654

Related Least Common Multiples of 7657

Frequently Asked Questions on LCM of 7654 and 7657

1. What is the LCM of 7654 and 7657?

Answer: LCM of 7654 and 7657 is 58606678.

2. What are the Factors of 7654?

Answer: Factors of 7654 are 1, 2, 43, 86, 89, 178, 3827, 7654. There are 8 integers that are factors of 7654. The greatest factor of 7654 is 7654.

3. What are the Factors of 7657?

Answer: Factors of 7657 are 1, 13, 19, 31, 247, 403, 589, 7657. There are 8 integers that are factors of 7657. The greatest factor of 7657 is 7657.

4. How to Find the LCM of 7654 and 7657?

Answer:

Least Common Multiple of 7654 and 7657 = 58606678

Step 1: Find the prime factorization of 7654

7654 = 2 x 43 x 89

Step 2: Find the prime factorization of 7657

7657 = 13 x 19 x 31

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

LCM = 58606678 = 2 x 13 x 19 x 31 x 43 x 89

Step 4: Therefore, the least common multiple of 7654 and 7657 is 58606678.