LCM for 3,575 and 1,000

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What's the Least Common Multiple (LCM) of 3,575 and 1,000?

Answer

LCM of 3,575 and 1,000 is
143,000

First common multiples: 143,000; 286,000; 429,000; …

143,000 is divisible by both: 143,000 ÷ 3,575 = 40; 143,000 ÷ 1,000 = 143 — and 40 and 143 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/3,575 by 40 and of y/1,000 by 143.

3,575 = 52 × 11 × 13

1,000 = 23 × 53

Prime3,5751,000Highest power
2—2323
5525353
1111—11
1313—13

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

LCM = 23 × 53 × 11 × 13 = 143,000

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
3,575985704,275
3,5759863,524,950
3,5759873,528,525
3,575988271,700
3,5759893,535,675
3,57599064,350
3,5759913,542,825
3,5759923,546,400
3,5759933,549,975
3,5759943,553,550
3,575995711,425
3,5759963,560,700
3,5759973,564,275
3,5759983,567,850
3,5759993,571,425
3,5751,000143,000
3,5751,00125,025
3,5751,0023,582,150
3,5751,0033,585,725
3,5751,0043,589,300
3,5751,005718,575
3,5751,0063,596,450
3,5751,0073,600,025
3,5751,0083,603,600
3,5751,0093,607,175
3,5751,010722,150
3,5751,0113,614,325
3,5751,012328,900
3,5751,0133,621,475
3,5751,014278,850

FAQ

What's the Least Common Multiple (LCM) of 3,575 and 1,000?

LCM of 3,575 and 1,000 is 143,000

How to find the LCM of 3,575 and 1,000 using prime factorization?

To find the LCM of 3,575 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 143,000.

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 3,575 and 1,000: LCM = 143,000, GCF = 25.

See Also