LCM for 26 and 31

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What's the Least Common Multiple (LCM) of 26 and 31?

Answer

LCM of 26 and 31 is
806

First common multiples: 806; 1,612; 2,418; …

806 is divisible by both: 806 ÷ 26 = 31, 806 ÷ 31 = 26 — and 31 and 26 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/26 by 31 and of y/31 by 26.

26 and 31 are coprime (GCF = 1), so their LCM is simply the product: 26 × 31 = 806.

26 = 2 × 13

31 — prime

Prime2631Highest power
22—2
1313—13
31—3131

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

LCM = 2 × 13 × 31 = 806

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LCM Table

Number 1Number 2LCM
2627702
2631806
2632416
2634442
2635910
2636468
2638494
263978
2640520
2642546
26431,118
2644572
26451,170
2646598
2648624
26491,274
2650650
26511,326
265252
26551,430
2656728
2665130
26117234

FAQ

What's the Least Common Multiple (LCM) of 26 and 31?

LCM of 26 and 31 is 806

How to find the LCM of 26 and 31 using prime factorization?

To find the LCM of 26 and 31, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 806.

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 26 and 31: LCM = 806, GCF = 1.

See Also