LCM for 8 and 51

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What's the Least Common Multiple (LCM) of 8 and 51?

Answer

LCM of 8 and 51 is
408

First common multiples: 408; 816; 1,224; …

408 is divisible by both: 408 ÷ 8 = 51, 408 ÷ 51 = 8 — and 51 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 51 and of y/51 by 8.

8 and 51 are coprime (GCF = 1), so their LCM is simply the product: 8 × 51 = 408.

8 = 23

51 = 3 × 17

Prime851Highest power
223—23
3—33
17—1717

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

LCM = 23 × 3 × 17 = 408

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LCM Table

Number 1Number 2LCM
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344
84488
845360
846184
84848
849392
851408
852104
855440
857456
858232
860120
863504
86464
87272
88080
890360
89696
8100200
8120120
81,0001,000

FAQ

What's the Least Common Multiple (LCM) of 8 and 51?

LCM of 8 and 51 is 408

How to find the LCM of 8 and 51 using prime factorization?

To find the LCM of 8 and 51, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 408.

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 8 and 51: LCM = 408, GCF = 1.

See Also