LCM for 8 and 100

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What's the Least Common Multiple (LCM) of 8 and 100?

Answer

LCM of 8 and 100 is
200

First common multiples: 200, 400, 600, …

200 is divisible by both: 200 ÷ 8 = 25, 200 ÷ 100 = 2 — and 25 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 25 and of y/100 by 2.

8 = 23

100 = 22 × 52

Prime8100Highest power
2232223
5—5252

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

LCM = 23 × 52 = 200

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LCM Table

Number 1Number 2LCM
826104
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344
84488
845360
846184
84848
849392
851408
852104
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 100?

LCM of 8 and 100 is 200

How to find the LCM of 8 and 100 using prime factorization?

To find the LCM of 8 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 200.

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 100: LCM = 200, GCF = 4.

See Also