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

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

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LCM Table

Number 1 Number 2 LCM
110 165 330
111 165 6105
112 165 18480
113 165 18645
114 165 6270
115 165 3795
116 165 19140
117 165 6435
118 165 19470
119 165 19635
120 165 1320
121 165 1815
122 165 20130
123 165 6765
124 165 20460
125 165 4125
126 165 6930
127 165 20955
128 165 21120
129 165 7095
130 165 4290
131 165 21615
132 165 660
133 165 21945
134 165 22110
135 165 1485
136 165 22440
137 165 22605
138 165 7590
139 165 22935

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