Least Common Multiple of 654 and 661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 654 and 661 the smallest integer that is 432294 that is divisible by both numbers.

Least Common Multiple (LCM) of 654 and 661 is 432294.

LCM(654,661) = 432294

LCM of 654 and 661

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

LCM of:
and

Least Common Multiple of 654 and 661

LCM of 654 and 661 is 432294

Least common multiple can be found by multiplying the highest exponent prime factors of 654 and 661. First we will calculate the prime factors of 654 and 661.

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

Prime Factorization of 661


661 661
1

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

661 = 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 654 and 661.

LCM(654,661) = 21×31×1091×6611
LCM(654,661) = 432294

Factors of 654

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

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

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1, 661

Least Common Multiple of 654 and 661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 654 and 661, than apply into the LCM equation.

GCF(654,661) = 1
LCM(654,661) = ( 654 × 661) / 1
LCM(654,661) = 432294 / 1
LCM(654,661) = 432294

Properties of LCM 654 and 661

(i) The LCM of 661 and 654 is associative

LCM of 654 and 661 = LCM of 661 and 654

Related Least Common Multiples of 654

Related Least Common Multiples of 661

Frequently Asked Questions on LCM of 654 and 661

1. What is the LCM of 654 and 661?

Answer: LCM of 654 and 661 is 432294.

2. 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.

3. What are the Factors of 661?

Answer: Factors of 661 are 1, 661. There are 2 integers that are factors of 661. The greatest factor of 661 is 661.

4. How to Find the LCM of 654 and 661?

Answer:

Least Common Multiple of 654 and 661 = 432294

Step 1: Find the prime factorization of 654

654 = 2 x 3 x 109

Step 2: Find the prime factorization of 661

661 = 661

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

LCM = 432294 = 2 x 3 x 109 x 661

Step 4: Therefore, the least common multiple of 654 and 661 is 432294.