LCM for 11 and 26

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What's the Least Common Multiple (LCM) of 11 and 26?

Answer

LCM of 11 and 26 is
286

First common multiples: 286, 572, 858, …

286 is divisible by both: 286 ÷ 11 = 26, 286 ÷ 26 = 11 — and 26 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/11 by 26 and of y/26 by 11.

11 and 26 are coprime (GCF = 1), so their LCM is simply the product: 11 × 26 = 286.

11 — prime

26 = 2 × 13

Prime1126Highest power
2—22
1111—11
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 × 11 × 13 = 286

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LCM Table

Number 1Number 2LCM
11777
1112132
1113143
1114154
1115165
1116176
1117187
1120220
1121231
112222
1123253
1124264
1125275
1126286
1127297
1131341
1132352
113333
1134374
1135385
1137407
1139429
1141451
1142462
1143473
114444
1145495
1147517
1149539
1150550

FAQ

What's the Least Common Multiple (LCM) of 11 and 26?

LCM of 11 and 26 is 286

How to find the LCM of 11 and 26 using prime factorization?

To find the LCM of 11 and 26, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 286.

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 11 and 26: LCM = 286, GCF = 1.

See Also