Least Common Multiple of 653 and 654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 653 and 654 the smallest integer that is 427062 that is divisible by both numbers.

Least Common Multiple (LCM) of 653 and 654 is 427062.

LCM(653,654) = 427062

LCM of 653 and 654

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

LCM of:
and

Least Common Multiple of 653 and 654

LCM of 653 and 654 is 427062

Least common multiple can be found by multiplying the highest exponent prime factors of 653 and 654. First we will calculate the prime factors of 653 and 654.

Prime Factorization of 653


653 653
1

Prime factors of 653 are 653. Prime factorization of 653 in exponential form is:

653 = 6531

Prime Factorization of 654


2 654
3 327
109 109
1

Prime factors of 654 are 2, 3,109. Prime factorization of 654 in exponential form is:

654 = 21×31×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 653 and 654.

LCM(653,654) = 21×31×1091×6531
LCM(653,654) = 427062

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1, 653

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Least Common Multiple of 653 and 654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 653 and 654, than apply into the LCM equation.

GCF(653,654) = 1
LCM(653,654) = ( 653 × 654) / 1
LCM(653,654) = 427062 / 1
LCM(653,654) = 427062

Properties of LCM 653 and 654

(i) The LCM of 654 and 653 is associative

LCM of 653 and 654 = LCM of 654 and 653

Related Least Common Multiples of 653

Related Least Common Multiples of 654

Frequently Asked Questions on LCM of 653 and 654

1. What is the LCM of 653 and 654?

Answer: LCM of 653 and 654 is 427062.

2. What are the Factors of 653?

Answer: Factors of 653 are 1, 653. There are 2 integers that are factors of 653. The greatest factor of 653 is 653.

3. What are the Factors of 654?

Answer: Factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654. There are 8 integers that are factors of 654. The greatest factor of 654 is 654.

4. How to Find the LCM of 653 and 654?

Answer:

Least Common Multiple of 653 and 654 = 427062

Step 1: Find the prime factorization of 653

653 = 653

Step 2: Find the prime factorization of 654

654 = 2 x 3 x 109

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

LCM = 427062 = 2 x 3 x 109 x 653

Step 4: Therefore, the least common multiple of 653 and 654 is 427062.