LCM for 8 and 1,000

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What's the Least Common Multiple (LCM) of 8 and 1,000?

Answer

LCM of 8 and 1,000 is
1,000

First common multiples: 1,000; 2,000; 3,000; …

As a common denominator: multiply the top and bottom of x/8 by 125.

8 divides 1,000 (1,000 ÷ 8 = 125), so the LCM is the larger number itself.

8 = 23

1,000 = 23 × 53

Prime81,000Highest power
2232323
5—5353

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

LCM = 23 × 53 = 1,000

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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 1,000?

LCM of 8 and 1,000 is 1,000

How to find the LCM of 8 and 1,000 using prime factorization?

To find the LCM of 8 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,000.

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 1,000: LCM = 1,000, GCF = 8.

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