LCM for 10 and 135

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What's the Least Common Multiple (LCM) of 10 and 135?

Answer

LCM of 10 and 135 is
270

First common multiples: 270, 540, 810, …

270 is divisible by both: 270 ÷ 10 = 27, 270 ÷ 135 = 2 — and 27 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 27 and of y/135 by 2.

10 = 2 × 5

135 = 33 × 5

Prime10135Highest power
22—2
3—3333
5555

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

LCM = 2 × 33 × 5 = 270

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LCM Table

Number 1Number 2LCM
1058290
1059590
106060
1065130
1066330
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

FAQ

What's the Least Common Multiple (LCM) of 10 and 135?

LCM of 10 and 135 is 270

How to find the LCM of 10 and 135 using prime factorization?

To find the LCM of 10 and 135, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 270.

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 135: LCM = 270, GCF = 5.

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