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LCM for 60 and 235

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 235?

Answer

LCM of 60 and 235 is 2,820

(Two thousand, eight hundred twenty)

Finding LCM for 60 and 235 using GCF of these numbers

The first method to find LCM for numbers 60 and 235 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 235 is 5, so

LCM = (60 × 235) ÷ 5

LCM = 14100 ÷ 5

LCM = 2820

Finding LCM for 60 and 235 by Listing Multiples

The second method to find LCM for numbers 60 and 235 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

Multiples of 235: 235, 470, 705, 940, 1175, 1410, 1645, 1880, 2115, 2350, 2585, 2820, 3055, 3290

So the LCM for 60 and 235 is 2820

Finding LCM for 60 and 235 by Prime Factorization

Another method to find LCM for numbers 60 and 235 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 235: 5, 47 (exponent form: 51, 471)

22 × 31 × 51 × 471 = 2820

Related Calculations

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What is the LCM of 60 and 235?. Find the LCM of 60 and 235 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
452352115
4623510810
47235235
4823511280
4923511515
502352350
5123511985
5223512220
5323512455
5423512690
552352585
5623513160
5723513395
5823513630
5923513865
602352820
6123514335
6223514570
6323514805
6423515040
652353055
6623515510
6723515745
6823515980
6923516215
702353290
7123516685
7223516920
7323517155
7423517390

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 235? (The answer is: 2820). Select the first number (e.g. '60') and the second number (e.g. '235'). 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

FAQ

What's the Least Common Multiple (LCM) of 60 and 235?

LCM of 60 and 235 is 2,820

How to find the LCM of 60 and 235 using prime factorization?

To find the LCM of 60 and 235, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,820.

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 235: LCM = 2,820, GCF = 5.

See Also