LCM for 60 and 455

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 455?

Answer

LCM of 60 and 455 is 5,460

(Five thousand, four hundred sixty)

Finding LCM for 60 and 455 using GCF of these numbers

The first method to find LCM for numbers 60 and 455 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 455 is 5, so

LCM = (60 × 455) ÷ 5

LCM = 27300 ÷ 5

LCM = 5460

Finding LCM for 60 and 455 by Listing Multiples

The second method to find LCM for numbers 60 and 455 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940, 3000, 3060, 3120, 3180, 3240, 3300, 3360, 3420, 3480, 3540, 3600, 3660, 3720, 3780, 3840, 3900, 3960, 4020, 4080, 4140, 4200, 4260, 4320, 4380, 4440, 4500, 4560, 4620, 4680, 4740, 4800, 4860, 4920, 4980, 5040, 5100, 5160, 5220, 5280, 5340, 5400, 5460, 5520, 5580

Multiples of 455: 455, 910, 1365, 1820, 2275, 2730, 3185, 3640, 4095, 4550, 5005, 5460, 5915, 6370

So the LCM for 60 and 455 is 5460

Finding LCM for 60 and 455 by Prime Factorization

Another method to find LCM for numbers 60 and 455 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 455: 5, 7, 13 (exponent form: 51, 71, 131)

22 × 31 × 51 × 71 × 131 = 5460

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 60 and 455? (The answer is: 5460). Select the first number (e.g. '60') and the second number (e.g. '455'). 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
454554095
4645520930
4745521385
4845521840
494553185
504554550
5145523205
524551820
5345524115
5445524570
554555005
564553640
5745525935
5845526390
5945526845
604555460
6145527755
6245528210
634554095
6445529120
65455455
6645530030
6745530485
6845530940
6945531395
70455910
7145532305
7245532760
7345533215
7445533670

FAQ

What's the Least Common Multiple (LCM) of 60 and 455?

LCM of 60 and 455 is 5,460

How to find the LCM of 60 and 455 using prime factorization?

To find the LCM of 60 and 455, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 5,460.

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 60 and 455: LCM = 5,460, GCF = 5.

See Also