LCM for 5 and 26

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What's the Least Common Multiple (LCM) of 5 and 26?

Answer

LCM of 5 and 26 is
130

First common multiples: 130, 260, 390, …

130 is divisible by both: 130 ÷ 5 = 26, 130 ÷ 26 = 5 — and 26 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/5 by 26 and of y/26 by 5.

5 and 26 are coprime (GCF = 1), so their LCM is simply the product: 5 × 26 = 130.

5 — prime

26 = 2 × 13

Prime526Highest power
2—22
55—5
13—1313

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

LCM = 2 × 5 × 13 = 130

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LCM Table

Number 1Number 2LCM
51010
51155
51260
51365
51470
51515
51680
51785
51890
51995
52020
521105
522110
524120
52525
526130
527135
53030
531155
532160
53535
539195
54040
543215
544220
54545
546230
548240
55050
551255

FAQ

What's the Least Common Multiple (LCM) of 5 and 26?

LCM of 5 and 26 is 130

How to find the LCM of 5 and 26 using prime factorization?

To find the LCM of 5 and 26, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 130.

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 5 and 26: LCM = 130, GCF = 1.

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