LCM for 60 and 275

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 275?

Answer

LCM of 60 and 275 is 3,300

(Three thousand, three hundred)

Finding LCM for 60 and 275 using GCF of these numbers

The first method to find LCM for numbers 60 and 275 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 275 is 5, so

LCM = (60 × 275) ÷ 5

LCM = 16500 ÷ 5

LCM = 3300

Finding LCM for 60 and 275 by Listing Multiples

The second method to find LCM for numbers 60 and 275 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

Multiples of 275: 275, 550, 825, 1100, 1375, 1650, 1925, 2200, 2475, 2750, 3025, 3300, 3575, 3850

So the LCM for 60 and 275 is 3300

Finding LCM for 60 and 275 by Prime Factorization

Another method to find LCM for numbers 60 and 275 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 275: 5, 5, 11 (exponent form: 52, 111)

22 × 31 × 52 × 111 = 3300

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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 275? (The answer is: 3300). Select the first number (e.g. '60') and the second number (e.g. '275'). 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
452752475
4627512650
4727512925
4827513200
4927513475
50275550
5127514025
5227514300
5327514575
5427514850
55275275
5627515400
5727515675
5827515950
5927516225
602753300
6127516775
6227517050
6327517325
6427517600
652753575
662751650
6727518425
6827518700
6927518975
702753850
7127519525
7227519800
7327520075
7427520350

FAQ

What's the Least Common Multiple (LCM) of 60 and 275?

LCM of 60 and 275 is 3,300

How to find the LCM of 60 and 275 using prime factorization?

To find the LCM of 60 and 275, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,300.

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 275: LCM = 3,300, GCF = 5.

See Also