LCM for 125 and 165

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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 = 20,625 ÷ 5

LCM = 4,125

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 4,125

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 = 4,125

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 125 and 165? (The answer is: 4,125). 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
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LCM Table

Number 1Number 2LCM
125150750
12515118,875
12515219,000
12515319,125
12515419,250
1251553,875
12515619,500
12515719,625
12515819,750
12515919,875
1251604,000
12516120,125
12516220,250
12516320,375
12516420,500
1251654,125
12516620,750
12516720,875
12516821,000
12516921,125
1251704,250
12517121,375
12517221,500
12517321,625
12517421,750
125175875
12517622,000
12517722,125
12517822,250
12517922,375

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.