LCM for 25 and 48

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What's the Least Common Multiple (LCM) of 25 and 48?

Answer

LCM of 25 and 48 is
1,200

First common multiples: 1,200; 2,400; 3,600; …

1,200 is divisible by both: 1,200 ÷ 25 = 48; 1,200 ÷ 48 = 25 — and 48 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 48 and of y/48 by 25.

25 and 48 are coprime (GCF = 1), so their LCM is simply the product: 25 × 48 = 1,200.

25 = 52

48 = 24 × 3

Prime2548Highest power
2—2424
3—33
552—52

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

LCM = 24 × 3 × 52 = 1,200

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LCM Table

Number 1Number 2LCM
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
2580400
25812,025
2590450
25100100
25105525

FAQ

What's the Least Common Multiple (LCM) of 25 and 48?

LCM of 25 and 48 is 1,200

How to find the LCM of 25 and 48 using prime factorization?

To find the LCM of 25 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,200.

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 25 and 48: LCM = 1,200, GCF = 1.

See Also