LCM for 10 and 165

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What's the Least Common Multiple (LCM) of 10 and 165?

Answer

LCM of 10 and 165 is
330

First common multiples: 330, 660, 990, …

330 is divisible by both: 330 ÷ 10 = 33, 330 ÷ 165 = 2 — and 33 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 33 and of y/165 by 2.

10 = 2 × 5

165 = 3 × 5 × 11

Prime10165Highest power
22—2
3—33
5555
11—1111

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 3 × 5 × 11 = 330

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LCM Table

Number 1Number 2LCM
107070
1075150
108080
109090
1095190
1099990
10100100
10105210
10110110
10120120
10135270
10145290
10150150
10155310
10160160
10165330
10180180
10190190
10195390
10200200
10215430
10225450
10235470
10250250
10260260
10265530
10275550
10280280
10305610
10310310

FAQ

What's the Least Common Multiple (LCM) of 10 and 165?

LCM of 10 and 165 is 330

How to find the LCM of 10 and 165 using prime factorization?

To find the LCM of 10 and 165, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 330.

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 10 and 165: LCM = 330, GCF = 5.

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