LCM for 25 and 32

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What's the Least Common Multiple (LCM) of 25 and 32?

Answer

LCM of 25 and 32 is
800

First common multiples: 800; 1,600; 2,400; …

800 is divisible by both: 800 ÷ 25 = 32, 800 ÷ 32 = 25 — and 32 and 25 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/25 by 32 and of y/32 by 25.

25 and 32 are coprime (GCF = 1), so their LCM is simply the product: 25 × 32 = 800.

25 = 52

32 = 25

Prime2532Highest power
2—2525
552—52

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

LCM = 25 × 52 = 800

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LCM Table

Number 1Number 2LCM
251050
251575
2520100
2526650
2527675
2528700
2530150
2531775
2532800
2533825
2534850
2535175
2536900
2537925
2538950
2540200
25411,025
25421,050
2545225
25461,150
25481,200
25491,225
255050
25531,325
2555275
2560300
25641,600
2565325
2570350
257575

FAQ

What's the Least Common Multiple (LCM) of 25 and 32?

LCM of 25 and 32 is 800

How to find the LCM of 25 and 32 using prime factorization?

To find the LCM of 25 and 32, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 800.

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 25 and 32: LCM = 800, GCF = 1.

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