LCM for 24 and 1,000

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What's the Least Common Multiple (LCM) of 24 and 1,000?

Answer

LCM of 24 and 1,000 is
3,000

First common multiples: 3,000; 6,000; 9,000; …

3,000 is divisible by both: 3,000 ÷ 24 = 125; 3,000 ÷ 1,000 = 3 — and 125 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/24 by 125 and of y/1,000 by 3.

24 = 23 × 3

1,000 = 23 × 53

Prime241,000Highest power
2232323
33—3
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 × 3 × 53 = 3,000

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LCM Table

Number 1Number 2LCM
243296
2435840
243672
2440120
2441984
2442168
2444264
2445360
2446552
244848
24491,176
2451408
24531,272
2454216
24551,320
2456168
2457456
2460120
2464192
247272
2480240
2484168
2488264
2490360
249696
24100600
24104312
24120120
24210840
241,0003,000

FAQ

What's the Least Common Multiple (LCM) of 24 and 1,000?

LCM of 24 and 1,000 is 3,000

How to find the LCM of 24 and 1,000 using prime factorization?

To find the LCM of 24 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,000.

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 24 and 1,000: LCM = 3,000, GCF = 8.

See Also