LCM for 540 and 306

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 540 and 306?

Answer

LCM of 540 and 306 is 9,180

(Nine thousand, one hundred eighty)

Finding LCM for 540 and 306 using GCF of these numbers

The first method to find LCM for numbers 540 and 306 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 540 and 306 is 18, so

LCM = (540 × 306) ÷ 18

LCM = 165240 ÷ 18

LCM = 9180

Finding LCM for 540 and 306 by Listing Multiples

The second method to find LCM for numbers 540 and 306 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 540: 540, 1080, 1620, 2160, 2700, 3240, 3780, 4320, 4860, 5400, 5940, 6480, 7020, 7560, 8100, 8640, 9180, 9720, 10260

Multiples of 306: 306, 612, 918, 1224, 1530, 1836, 2142, 2448, 2754, 3060, 3366, 3672, 3978, 4284, 4590, 4896, 5202, 5508, 5814, 6120, 6426, 6732, 7038, 7344, 7650, 7956, 8262, 8568, 8874, 9180, 9486, 9792

So the LCM for 540 and 306 is 9180

Finding LCM for 540 and 306 by Prime Factorization

Another method to find LCM for numbers 540 and 306 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 540: 2, 2, 3, 3, 3, 5 (exponent form: 22, 33, 51)

All Prime Factors of 306: 2, 3, 3, 17 (exponent form: 21, 32, 171)

22 × 33 × 51 × 171 = 9180

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 540 and 306? (The answer is: 9180). Select the first number (e.g. '540') and the second number (e.g. '306'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
52530653550
52630680478
5273069486
52830626928
529306161874
53030681090
53130618054
53230681396
533306163098
53430627234
535306163710
53630682008
53730654774
53830682314
539306164934
5403069180
541306165546
54230682926
54330655386
5443064896
545306166770
54630627846
547306167382
54830683844
54930618666
55030684150
551306168606
55230628152
553306169218
55430684762

FAQ

What's the Least Common Multiple (LCM) of 540 and 306?

LCM of 540 and 306 is 9,180

How to find the LCM of 540 and 306 using prime factorization?

To find the LCM of 540 and 306, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 9,180.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 540 and 306: LCM = 9,180, GCF = 18.

See Also