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LCM for 125 and 165

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 125 and 165?

Answer

LCM of 125 and 165 is 4,125

(Four thousand one hundred twenty-five)

Finding LCM for 125 and 165 using GCF of these numbers

The first method to find LCM for numbers 125 and 165 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 125 and 165 is 5, so

LCM = (125 × 165) ÷ 5

LCM = 20625 ÷ 5

LCM = 4125

Finding LCM for 125 and 165 by Listing Multiples

The second method to find LCM for numbers 125 and 165 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 125: 125, 250, 375, 500, 625, 750, 875, 1000, 1125, 1250, 1375, 1500, 1625, 1750, 1875, 2000, 2125, 2250, 2375, 2500, 2625, 2750, 2875, 3000, 3125, 3250, 3375, 3500, 3625, 3750, 3875, 4000, 4125, 4250, 4375

Multiples of 165: 165, 330, 495, 660, 825, 990, 1155, 1320, 1485, 1650, 1815, 1980, 2145, 2310, 2475, 2640, 2805, 2970, 3135, 3300, 3465, 3630, 3795, 3960, 4125, 4290, 4455

So the LCM for 125 and 165 is 4125

Finding LCM for 125 and 165 by Prime Factorization

Another method to find LCM for numbers 125 and 165 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 125: 5, 5, 5 (exponent form: 53)

All Prime Factors of 165: 3, 5, 11 (exponent form: 31, 51, 111)

53 × 31 × 111 = 4125

See Also

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What is the LCM of 125 and 165?. The LCM of 125 and 165 is 4125 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
125150750
12515118875
12515219000
12515319125
12515419250
1251553875
12515619500
12515719625
12515819750
12515919875
1251604000
12516120125
12516220250
12516320375
12516420500
1251654125
12516620750
12516720875
12516821000
12516921125
1251704250
12517121375
12517221500
12517321625
12517421750
125175875
12517622000
12517722125
12517822250
12517922375

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 125 and 165? (The answer is: 4125). Select the first number (e.g. '125') and the second number (e.g. '165'). 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 125 and 165?

LCM of 125 and 165 is 4,125

How to find the LCM of 125 and 165 using prime factorization?

To find the LCM of 125 and 165, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,125.

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 125 and 165: LCM = 4,125, GCF = 5.

See Also